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In a office building, 58 offices are currently being rented. This represents 40% of the total units. How many offices are there in a building?

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Answer: 145

Explanation:

Given:

58 = 40%(x)

Step 1: Turn 40% into a decimal and divide it to the other side

When turning a percentage into a decimal, the decimal point has to be moved two places to the left. This means that 40% will be turned into 0.4.

58 = 0.4(x)

Divide 0.4 over to the other side.

58/0.4 = 0.4/0.4(x)

0.4 is the same as 4/10. This means that 58/1 is divided by 4/10. When dividing a number by a fraction, you invert the fraction and multiply it by the number.

58/1 * 10/4 = 580/4 = 145

145 = x

This is your answer

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