Question

How do you convert $28.8\%$ to a decimal ?

Answer 1

$28.2\%=\frac{28.8}{100}=\frac{288}{1000}=0.288$
Explanation:
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.
$28.8\%=\frac{28.8}{100}\leftarrow$ a percent is 'out of $100$'
$\frac{28.8}{100}\times \frac{10}{10}=\frac{288}{1000}\leftarrow$ denominator is a power of $10.$
This can be written as a decimal without any further working.
$\frac{288}{1000}=0.288$
It is useful to remember that the first 2 decimal places represent hundredths which are the same as a percent.
$28.8\%=0.288$