Shoe Size Converter (US, UK, EU, Japan and China)

Choose the category and the size system of your value, then enter the size. The matching sizes in all the other systems are looked up in the chart and shown together, along with the sizes just below and above (about a half size apart).

What you can do on this page

Enter a size in any one system (US / Canada, UK / India, EU, Japan (cm), China or foot length) and see the matching sizes in all the others at once
Conversions use a separate chart for each of 4 categories: men, women, kids (ages 5–12) and babies and toddlers (ages 0–4)
If your value is not in the chart, the closest row is shown, and you can also check the sizes just below and above it (about a half size apart)
A plain-language explanation of how each sizing system works and size charts you can paste into Excel or Google Sheets are also on this page

How a shoe fits depends on the brand, the last and the design, so these charts are only a general guide. When you buy, go by a try-on or the brand's own size chart first.

What is this calculation used for?

Buying shoes from an overseas online store (avoiding wrong sizes and returns)

European online stores often list shoes only in EU sizes, such as "EU 42". In this page's men's chart, EU 42 matches about a US 9.5, and a US 9 matches EU 41.
International returns cost time and shipping, so before you order, check the US equivalent here, and also check the product page's size chart or the brand's chart if there is one. Doing both cuts down on wrong sizes.

Men's vs. women's sizes on sneakers (hobbies and fashion)

Many unisex sneakers are sold in men's sizes, and the box usually lists US men's, US women's, UK, EU and cm. In this page's charts, a women's US 8 matches a men's US 7 (both 24.5 cm).
Knowing that the same US number stands for a different length for men and women helps when you enter a sneaker raffle or buy a model released only in men's sizes.

Buying shoes while traveling abroad

When you shop for shoes abroad, stores usually show only the local system: EU sizes in continental Europe, UK sizes in Britain, and cm in Japan. If you note your foot length and your size in each system before you go, you can tell the staff what you need.
The same label can fit differently by country and brand, so try shoes on before you buy, especially when traveling.

Choosing sizes for imported kids' and baby shoes (parenting)

Shoes from European kids' brands are usually sized in EU sizes. In this page's kids chart, EU 30 matches about a kids' US 12 to 12.5. Children's feet can grow several millimeters to nearly 1 cm (about 1/4 to 3/8 in) in six months, so measure the foot again each time and look it up in the chart.
Note that babies and toddlers (ages 0–4) and kids (ages 5–12) have separate charts, and that US kids' sizes start again at 1 after 13.5.

Buying and selling shoes on resale sites

On resale and secondhand marketplaces, a shoe made for another market may have a tag with only "UK 7" or "EU 38" and no US size.
When you sell, listing the US equivalent gives buyers confidence; when you buy, the chart tells you whether it will fit. Always check whether the size on the tag is a men's, women's or kids' size.

Formula

Estimate for US / Canada sizes (men)

Standard notation (the usual math form)

\(U\) \(=\) \(3\) \(\times\) \(L\) \(-\) \(22\)

In words (symbols replaced with words)

④ \(U\): US size \(=\) ② factor 3 \(\times\) ① \(L\): foot length (in) \(-\) ③ constant 22

The formula in words

① Take the \(L\): foot length (in)

② multiply it by the factor 3

③ subtract the constant 22

④ and you get an estimate of the \(U\): US size

Quick example

For a man whose foot is 10 inches (25.4 cm) long, the estimated US size is

\(U\): US size \(=\) factor 3 \(\times\) foot length (10 in) \(-\) constant 22

\(3 \times 10 - 22 = 8\)

Key idea

US and UK sizes are based on inches (1 in = 2.54 cm). The factor is 3 because one full size step is 1/3 inch, an old unit called the barleycorn. For women, the estimate is \(3L - 21\), so a woman with the same 10 in foot wears about a US 9. For UK / India sizes, the estimate is \(3L - 23\), about a UK 7. Traditionally these numbers count the length of the last (the form a shoe is built on), which is about 2/3 in longer than the foot. That is where the constants come from. These are only estimates and can be off by about a half size from real size charts, so the calculator on this page looks up the charts instead of using a formula.

Estimate for EU sizes

Standard notation (the usual math form)

\(E\) \(=\) \(\dfrac{3}{2}\) \(\times\) \(L\) \(+\) \(2\)

In words (symbols replaced with words)

④ \(E\): EU size \(=\) ② factor \(\dfrac{3}{2}\) \(\times\) ① \(L\): foot length (cm) \(+\) ③ constant 2

The formula in words

① Take the \(L\): foot length (cm)

② multiply it by the factor \(\dfrac{3}{2}\)

③ add the constant 2

④ and you get an estimate of the \(E\): EU size

Quick example

For a foot 24 cm (about 9.4 in) long, the estimated EU size is

\(E\): EU size \(=\) factor 3/2 \(\times\) foot length (24 cm) \(+\) constant 2

\(\dfrac{3}{2} \times 24 + 2 = 38\)

Key idea

EU sizes are said to come from the Paris point, a unit used in shoemaking (1 point = \(\dfrac{2}{3}\) cm, about 6.7 mm, or about 1/4 in). Each step up in EU size adds about \(\dfrac{2}{3}\) cm to the foot length. EU 38 is about a women's US 7 to 7.5 or a men's US 6 to 6.5 in this page's charts. The estimate for Chinese sizes is \(2L - 10\) (\(L\) is the foot length in cm). Both are estimates that can be off by about a half size from real size charts, so the calculator on this page uses chart lookups.

Japan size = foot length (cm)

Standard notation (the usual math form)

In words (symbols replaced with words)

\(J\) \(=\) \(L\)

② \(J\): Japan size \(=\) ① \(L\): foot length (cm)

The formula in words

① Use the \(L\): foot length (cm)

② as it is as the \(J\): Japan size (the JIS rule)

Quick example

For someone whose foot measures 25.4 cm (10 in), the estimated Japan size is

\(J\): Japan size \(=\) foot length (25.4 cm)

\(J = 25.4 \approx 25.5\)

Key idea

Japanese shoe sizes are set by the Japanese Industrial Standard JIS S 5037 as the foot length itself, in centimeters. The size is simply the length from the heel to the tip of the longest toe, so unlike the numbered US, UK and EU systems, its meaning is clear at a glance. It works like the international Mondopoint system (ISO 9407), which gives the foot length in millimeters. Sizes go up in 0.5 cm steps, so a person with a 25.4 cm foot takes the nearest size, 25.5 cm. The extra room in front of the toes is already built into the shoe, so you do not add any to the foot length.

US and UK sizes count in steps of 1/3 inch, EU sizes in steps of 2/3 cm, and Japan sizes are simply the foot length in cm (JIS). Because each system has a different starting point and step, converting with a size chart is more reliable than using the estimate formulas. Men's and women's US sizes also differ, and fit varies by brand and last, so in the end go by a try-on or the brand's size chart.

Symbols and terms

Symbols

\(L\)	L	Foot length: from the back of the heel to the tip of the longest toe. It is measured in inches in the US and UK formulas, and in cm in the EU, China and Japan formulas.
\(U\)	U	A US / Canada shoe size. (Example - a men's US 8 matches a foot about 10 in (25.4 cm) long)
\(E\)	E	An EU (European) shoe size. (Example - for women, EU 38 matches US 7 to 7.5)
\(J\)	J	A Japan shoe size. Under JIS, the foot length in cm is the size. (Example - a 25.5 cm foot takes a 25.5 cm shoe)

Terms

foot length	The length from the very back of the heel to the tip of the longest toe. Stand with your heel against a wall, mark where your longest toe ends, and measure. Your two feet are often slightly different, so go by the longer one.
width	How wide or roomy a shoe is around the ball of the foot. US widths use letters: for men, D is standard, 2E (EE) is wide and 4E is extra wide; for women, B is standard, D is wide and 2A is narrow. These charts do not include width, but a shoe with the right length still will not fit if the width is wrong, so check it when you try shoes on.
last	The foot-shaped form a shoe is built on. Each brand and each shoe has its own last, so the same size label can fit larger or smaller. This is the main reason these charts are only a guide.
barleycorn	An old unit of length, based on a grain of barley, equal to 1/3 inch (about 8.5 mm). In US and UK sizes, each full size step changes the length by one barleycorn (1/3 inch).
Paris point	The unit behind EU (continental European) shoe sizes: 1 point = 2/3 cm (about 6.7 mm). Each step up in EU size adds about 2/3 cm to the foot length.
half size	A size halfway between two whole sizes. US and UK sizes have half sizes (8, 8.5, 9 ...), and Japan sizes go in 0.5 cm steps, but EU and Chinese sizes usually go in whole steps.
kids' sizes	US children's sizes count up to 13.5 and then start again at 1 for older kids (often written 1Y, 2Y and so on, where Y stands for youth). That is why the kids chart goes from US 13.5 to US 1.
JIS (Japanese Industrial Standards)	Japan's national standards for industrial products. JIS S 5037 sets shoe sizes as the foot length in cm, which is where Japanese sizes such as "25.5 cm" come from.
toe room	The extra space in front of the toes inside a shoe. Your foot moves forward as you walk, so this space is needed, and shoes are made with it already included. That is why you choose a Japan size equal to your foot length.

Good to know before you start

Here is what helps you use the conversions on this page with real understanding, not just by pressing the button.

Measuring length (Grades 2–4)	Being able to measure a length with a ruler in inches and fractions of an inch, and in centimeters Knowing that 1 inch = 2.54 cm, and being able to switch between inches and centimeters
Comparing and computing with decimals (Grades 4–5)	Being able to compare decimals such as 25.4 and 25.5 Being able to do a decimal multiplication such as 1.5 × 24 (by hand or on a calculator)
Linear equations (Grades 7–8)	Knowing what \(a\) (the slope) and \(b\) (the constant) stand for in a formula of the form \(y = ax + b\) (used to read the estimate formulas) Understanding a rate of change such as "the EU size goes up by 1 each time the foot length grows by 2/3 cm"

How to calculate it in Excel

Copy the whole table below and paste it into cell A1 in Excel. It works as is.

Table of estimated sizes from foot length

Foot length (in)	10
US men's (estimate)	=3*B1-22
US women's (estimate)	=3*B1-21
UK (estimate)	=3*B1-23
Foot length (cm)	=B1*2.54
EU (estimate)	=1.5*B5+2
China (estimate)	=2*B5-10

Size chart (men)

US / Canada	UK / India	EU	Japan (cm)	China	Foot length (in)	Foot length (cm)
6	5	38	23.5	37	9.3	23.7
6.5	5.5	38	24	38	9.5	24.1
7	6	39	24.5	39	9.7	24.6
7.5	6.5	39	25	40	9.8	25
8	7	40	25.5	41	10	25.4
8.5	7.5	41	26	42	10.2	25.8
9	8	41	26	42	10.3	26.2
9.5	8.5	42	26.5	43	10.5	26.7
10	9	43	27	44	10.7	27.1
10.5	9.5	43	27.5	45	10.8	27.5
11	10	44	28	46	11	27.9
11.5	10.5	45	28.5	47	11.2	28.4
12	11	45	29	48	11.3	28.8
12.5	11.5	46	29	48	11.5	29.2
13	12	46	29.5	49	11.7	29.6
13.5	12.5	47	30	50	11.8	30.1
14	13	48	30.5	51	12	30.5

Size chart (women)

US / Canada	UK / India	EU	Japan (cm)	China	Foot length (in)	Foot length (cm)
4	2	34	21	32	8.3	21.2
4.5	2.5	34	21.5	33	8.5	21.6
5	3	35	22	34	8.7	22
5.5	3.5	36	22.5	35	8.8	22.4
6	4	36	23	36	9	22.9
6.5	4.5	37	23.5	37	9.2	23.3
7	5	38	23.5	37	9.3	23.7
7.5	5.5	38	24	38	9.5	24.1
8	6	39	24.5	39	9.7	24.6
8.5	6.5	39	25	40	9.8	25
9	7	40	25.5	41	10	25.4
9.5	7.5	41	26	42	10.2	25.8
10	8	41	26	42	10.3	26.2
10.5	8.5	42	26.5	43	10.5	26.7
11	9	43	27	44	10.7	27.1
11.5	9.5	43	27.5	45	10.8	27.5
12	10	44	28	46	11	27.9

Size chart (kids, ages 5–12)

US / Canada	UK / India	EU	Japan (cm)	China	Foot length (in)	Foot length (cm)
10.5	9.5	28	17	24	6.8	17.1
11	10	28	17.5	25	6.9	17.6
11.5	10.5	29	18	26	7.1	18
12	11	30	18.5	27	7.3	18.4
12.5	11.5	30	19	28	7.4	18.8
13	12	31	19.5	29	7.6	19.3
13.5	12.5	32	19.5	29	7.8	19.7
1	13	32	20	30	7.9	20.1
1.5	13.5	33	20.5	31	8.1	20.5
2	1	33	21	32	8.3	21
2.5	1.5	34	21.5	33	8.4	21.4
3	2	35	22	34	8.6	21.8
3.5	2.5	35	22	34	8.8	22.2
4	3	36	22.5	35	8.9	22.6
4.5	3.5	37	23	36	9.1	23.1
5	4	37	23.5	37	9.3	23.5
5.5	4.5	38	24	38	9.4	23.9
6	5	39	24.5	39	9.6	24.3
6.5	5.5	39	25	40	9.8	24.8
7	6	40	25	40	9.9	25.2

Size chart (babies and toddlers, ages 0–4)

US / Canada	UK / India	EU	Japan (cm)	China	Foot length (in)	Foot length (cm)
2	1	17	10	10	3.9	9.9
2.5	1.5	18	10.5	11	4.1	10.4
3	2	18	11	12	4.3	10.8
3.5	2.5	19	11	12	4.4	11.2
4	3	19	11.5	13	4.6	11.6
4.5	3.5	20	12	14	4.8	12.1
5	4	21	12.5	15	4.9	12.5
5.5	4.5	21	13	16	5.1	12.9
6	5	22	13.5	17	5.3	13.3
6.5	5.5	23	14	18	5.4	13.8
7	6	23	14	18	5.6	14.2
7.5	6.5	24	14.5	19	5.8	14.6
8	7	25	15	20	5.9	15
8.5	7.5	25	15.5	21	6.1	15.5
9	8	26	16	22	6.3	15.9
9.5	8.5	26	16.5	23	6.4	16.3
10	9	27	16.5	23	6.6	16.7

The first table uses the estimate formulas. Change the foot length (inches) in B1, and the estimated US men's size (8 for 10 in), US women's size (9), UK size (7), foot length in cm (25.4), EU size (about 40.1) and China size (about 40.8) are calculated automatically. The estimates can be off by about a half size from the charts.
The other tables are the size charts this calculator uses (no formulas). You can use them as reference charts as they are.

How to calculate it in Google Sheets

Copy the whole table below and paste it into cell A1 in Google Sheets. It works as is.

Table of estimated sizes from foot length

Foot length (in)	10
US men's (estimate)	=3*B1-22
US women's (estimate)	=3*B1-21
UK (estimate)	=3*B1-23
Foot length (cm)	=B1*2.54
EU (estimate)	=1.5*B5+2
China (estimate)	=2*B5-10

Size chart (men)

US / Canada	UK / India	EU	Japan (cm)	China	Foot length (in)	Foot length (cm)
6	5	38	23.5	37	9.3	23.7
6.5	5.5	38	24	38	9.5	24.1
7	6	39	24.5	39	9.7	24.6
7.5	6.5	39	25	40	9.8	25
8	7	40	25.5	41	10	25.4
8.5	7.5	41	26	42	10.2	25.8
9	8	41	26	42	10.3	26.2
9.5	8.5	42	26.5	43	10.5	26.7
10	9	43	27	44	10.7	27.1
10.5	9.5	43	27.5	45	10.8	27.5
11	10	44	28	46	11	27.9
11.5	10.5	45	28.5	47	11.2	28.4
12	11	45	29	48	11.3	28.8
12.5	11.5	46	29	48	11.5	29.2
13	12	46	29.5	49	11.7	29.6
13.5	12.5	47	30	50	11.8	30.1
14	13	48	30.5	51	12	30.5

Size chart (women)

US / Canada	UK / India	EU	Japan (cm)	China	Foot length (in)	Foot length (cm)
4	2	34	21	32	8.3	21.2
4.5	2.5	34	21.5	33	8.5	21.6
5	3	35	22	34	8.7	22
5.5	3.5	36	22.5	35	8.8	22.4
6	4	36	23	36	9	22.9
6.5	4.5	37	23.5	37	9.2	23.3
7	5	38	23.5	37	9.3	23.7
7.5	5.5	38	24	38	9.5	24.1
8	6	39	24.5	39	9.7	24.6
8.5	6.5	39	25	40	9.8	25
9	7	40	25.5	41	10	25.4
9.5	7.5	41	26	42	10.2	25.8
10	8	41	26	42	10.3	26.2
10.5	8.5	42	26.5	43	10.5	26.7
11	9	43	27	44	10.7	27.1
11.5	9.5	43	27.5	45	10.8	27.5
12	10	44	28	46	11	27.9

Size chart (kids, ages 5–12)

US / Canada	UK / India	EU	Japan (cm)	China	Foot length (in)	Foot length (cm)
10.5	9.5	28	17	24	6.8	17.1
11	10	28	17.5	25	6.9	17.6
11.5	10.5	29	18	26	7.1	18
12	11	30	18.5	27	7.3	18.4
12.5	11.5	30	19	28	7.4	18.8
13	12	31	19.5	29	7.6	19.3
13.5	12.5	32	19.5	29	7.8	19.7
1	13	32	20	30	7.9	20.1
1.5	13.5	33	20.5	31	8.1	20.5
2	1	33	21	32	8.3	21
2.5	1.5	34	21.5	33	8.4	21.4
3	2	35	22	34	8.6	21.8
3.5	2.5	35	22	34	8.8	22.2
4	3	36	22.5	35	8.9	22.6
4.5	3.5	37	23	36	9.1	23.1
5	4	37	23.5	37	9.3	23.5
5.5	4.5	38	24	38	9.4	23.9
6	5	39	24.5	39	9.6	24.3
6.5	5.5	39	25	40	9.8	24.8
7	6	40	25	40	9.9	25.2

Size chart (babies and toddlers, ages 0–4)

US / Canada	UK / India	EU	Japan (cm)	China	Foot length (in)	Foot length (cm)
2	1	17	10	10	3.9	9.9
2.5	1.5	18	10.5	11	4.1	10.4
3	2	18	11	12	4.3	10.8
3.5	2.5	19	11	12	4.4	11.2
4	3	19	11.5	13	4.6	11.6
4.5	3.5	20	12	14	4.8	12.1
5	4	21	12.5	15	4.9	12.5
5.5	4.5	21	13	16	5.1	12.9
6	5	22	13.5	17	5.3	13.3
6.5	5.5	23	14	18	5.4	13.8
7	6	23	14	18	5.6	14.2
7.5	6.5	24	14.5	19	5.8	14.6
8	7	25	15	20	5.9	15
8.5	7.5	25	15.5	21	6.1	15.5
9	8	26	16	22	6.3	15.9
9.5	8.5	26	16.5	23	6.4	16.3
10	9	27	16.5	23	6.6	16.7

The same formulas and charts as in Excel work as is. Copy a whole table and paste it into cell A1. In the first table, replace the foot length in B1 with your own.

How to calculate it in Python

foot_length_in = 10.0  # foot length (inches)

foot_length_cm = foot_length_in * 2.54         # foot length in cm (1 in = 2.54 cm)
us_mens_size = 3 * foot_length_in - 22         # estimate for US / Canada (men)
us_womens_size = 3 * foot_length_in - 21       # estimate for US / Canada (women)
uk_size = 3 * foot_length_in - 23              # estimate for UK / India
eu_size = 3 / 2 * foot_length_cm + 2           # estimate for EU
china_size = 2 * foot_length_cm - 10           # estimate for China
japan_size = foot_length_cm                    # Japan size (cm) = foot length (JIS)

print(f"US (men) estimate: {us_mens_size}")
print(f"US (women) estimate: {us_womens_size}")
print(f"UK estimate: {uk_size}")
print(f"EU estimate: {eu_size}")
print(f"China estimate: {china_size}")
print(f"Japan size: {japan_size} cm")

Runs with the standard library only. These are estimate formulas, so the results can be off by about a half size from the real size charts on this page. Change the foot length (inches) at the top and run it.

How to write it in LaTeX and other math languages (copy and paste)

Estimate for US / Canada sizes (men)

U = 3L − 22

U = 3L - 22

<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
  <mrow>
    <mi>U</mi>
    <mo>=</mo>
    <mn>3</mn>
    <mi>L</mi>
    <mo>&#x2212;</mo>
    <mn>22</mn>
  </mrow>
</math>

U = 3L - 22

3*L - 22

U := 3*L - 22;

U = 3*L - 22;

U = 3L − 22

Estimate for EU sizes

E = (3/2)L + 2

E = \dfrac{3}{2}L + 2

<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
  <mrow>
    <mi>E</mi>
    <mo>=</mo>
    <mfrac><mn>3</mn><mn>2</mn></mfrac>
    <mi>L</mi>
    <mo>+</mo>
    <mn>2</mn>
  </mrow>
</math>

E = 3/2 L + 2

3/2*L + 2

E := 3/2*L + 2;

E = 3/2*L + 2;

E = (3/2)L + 2

Japan size = foot length (cm)

J = L

J = L

<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
  <mrow>
    <mi>J</mi>
    <mo>=</mo>
    <mi>L</mi>
  </mrow>
</math>

J = L

J := L;

J = L;

J = L

How to have ChatGPT do the calculation

You are an assistant for converting shoe sizes. Do the following calculation by actually running Python code, and base your answer only on the numbers from the execution result (do not answer by mental math or guessing).

For a foot that is 10 inches long (1 inch = 2.54 cm), find each of the following estimated sizes:
1. US / Canada size for men (3 × foot length in inches − 22)
2. US / Canada size for women (3 × foot length in inches − 21)
3. UK / India size (3 × foot length in inches − 23)
4. EU size (1.5 × foot length in cm + 2)
5. China size (2 × foot length in cm − 10)

Show the formulas you used and the numbers from the execution result. At the end, add a short note that these are estimate formulas and that a size chart and a try-on should come first.

How to Use

1

Enter your numbers

Type the numbers you want to calculate with into the input fields
2

Calculate

Press the "Calculate" button
3

Check the result

The result appears on the spot. The same page also explains the idea behind the calculation and the formula

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Shoe Size Converter (US, UK, EU, Japan and China)

Table of Contents

What you can do on this page

What is this calculation used for?

Formula

Symbols and terms

Symbols

Terms

Good to know before you start

How to calculate it in Excel

How to calculate it in Google Sheets

How to calculate it in Python

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