How do you convert 28.8% to a decimal?

Question

4658 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-12-16T07:15:11

$28.2% = 28.8/100 = 288/1000 = 0.288$

Fractions, decimals and percentages are all just different ways of expressing the same number. They are interchangeable.

A percent is a value given out of 100.

Decimals are based on fractions with denominators that are powers of 10.

$28.8% = 28.8/100" "larr$ a percent is 'out of 100'

$28.8/100 xx10/10 = 288/1000" "larr$ denominator is a power of 10.

This can be written as a decimal without any further working.

$288/1000 = 0.288$

It is useful to remember that the first 2 decimal places represent hundredths which are the same as a percent.

$color(blue)(28).8% = 0color(blue)(.28)8$