Convert to a Decimal 28.5%

$28.5 %$

Step 1

Convert the percentage to a fraction by placing the expression over $100$ . Percentage means \'out of $100$ \'.

$\frac{28.5}{100}$

Step 2

Convert the decimal number to a fraction by shifting the decimal point in both the numerator and denominator. Since there is $1$ number to the right of the decimal point, move the decimal point $1$ place to the right.

$\frac{285}{1000}$

Step 3

Cancel the common factor of $285$ and $1000$ .

Factor $5$ out of $285$ .

$\frac{5 (57)}{1000}$

Cancel the common factors.

Factor $5$ out of $1000$ .

$\frac{5 \cdot 57}{5 \cdot 200}$

Cancel the common factor.

$\frac{5 \cdot 57}{5 \cdot 200}$

Rewrite the expression.

$\frac{57}{200}$

Step 4

Convert the fraction to a decimal by dividing the numerator by the denominator.

$0.285$

Convert to a Decimal 28.5%

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