How do you write 0.678 as a percent?

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Answer 1 · 2016-12-10T18:07:41

$0.678 = 67.8%$

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 $10^3 = 1000$

$0.678 = 678/1000$

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:

$0.678 = 67.8%$