数学

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百分比换算器.

将百分比转换为小数、小数转换为百分比、百分比转换为完全约简的分数,或将百分比转换为1比N和赔率形式的概率。

设备端计算无需注册
01

输入数值

输入时结果会更新。

使用方法

百分比(Percent)的字面意思是“每百分之”。将百分比转为小数时除以100(小数点左移两位):25% → 0.25。反向转换则乘以100:0.25 → 25%。

分数始终化简为最简形式,因此25%会显示为1/4而非25/100,12.5%会显示为1/8。

结果经过四舍五入以消除二进制浮点误差,因此10%会精确转换为0.1。分数最多保留百分比的6位小数;33.333…%等循环值会被标记为近似值。

常见问题

How do I convert a percentage to a decimal?

Divide by 100, which is the same as moving the decimal point two places to the left: 25% → 0.25, 7% → 0.07, 150% → 1.5, 0.5% → 0.005. To go the other way, multiply by 100 and add the % sign.

What is 25% as a fraction?

1/4. Writing it as 25/100 is correct but not reduced — dividing the top and bottom by their greatest common divisor, 25, gives 1/4. This converter always reduces to lowest terms, so you get 1/4, not 25/100. Similarly 12.5% is 1/8, 75% is 3/4 and 150% is 3/2 (or 1½).

What does a percentage mean as a probability?

A 25% chance is a probability of 0.25, which is the same as '1 in 4', with odds in favour of 1:3 (one way it happens for every three ways it does not). Note that odds and probability are not the same thing: 1:3 odds means 1/4 probability, not 1/3.

Why does 0.1 sometimes show as 0.10000000000001 in other calculators?

Computers store decimals in binary, where values like 0.1 have no exact representation, so 0.1 × 100 can come out as 10.000000000000002. This converter rounds every result to a fixed precision before displaying it, so 10% converts to exactly 0.1 and 0.07 converts to exactly 7%.

How do I write a repeating percentage like 33⅓% as a fraction?

Exactly, it is 1/3. Typing 33.333% here gives 33333/100000, because that is literally the number you entered. The converter honours up to six decimal places of the percentage and flags the result as approximate when the value had to be rounded, so you can tell an exact fraction from a near-miss.

百分比换算器 | Mathify