# How do you write 0.678 as a percent?

Dec 10, 2016

0.678 = 67.8%

#### Explanation:

Fractions, decimals and percents are all different ways of expressing a value. They mean the same thing and are interchangeable.

A decimal can be written as a fraction with the denominator as a power of 10. In this case 3 decimal places means the denominator is ${10}^{3} = 1000$

$0.678 = \frac{678}{1000}$

A percent can be written as a fraction with a denominator of $100$

678/1000 (div10)/(div10) = 67.8/100 = 67.8%

Another method is " fraction" xx 100%

Note that 100% = 100/100 = 1

Multiplying by 1 does not change the value, only the form.

0.678 xx 100% = 67.8%

The first 2 decimal places represent hundredths, so a decimal can be read directly as a percent:

0.678 = 67.8%