Video: Finding the Whole given a Part and Its Percentage with Complex Fractions and Decimals

A company spends 45% of its expenditure on staff. Knowing that staff expenditure amounts to 20 million dollars, what is the total expenditure, in dollars, of the company? Give your answer in millions correct to one decimal place.

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Video Transcript

A company spends 45 percent of its expenditure on staff. Knowing that the staff expenditure amounts to 20 million dollars, what is the total expenditure in dollars of the company? Give your answer in millions correct to one decimal place.

So we know that the company spends 45 percent of the expenditure on staff, but we also know that the expenditure total is 20 million dollars. So we can rewrite 20 million as the entire number. And now we can replace the word “of” with multiplication.

But before we multiply, we need to change 45 percent to a decimal. And we do so by dropping the percent sign and moving the decimal place two places to the left. So we have 0.45 times 20000000. And when we multiply that together we get 9000000.

So if we were to round this to one decimal place, we will need to add .0. So this means 9000000 dollars total in expenditure is spent on the staff.

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