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Question

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


Solution

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

Mathematics

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