# Solving the question: “84 is 75 of what number?”

The question “84 is 75 of what number?” is a common mathematical problem that can be solved by using basic arithmetic. To solve this problem, we need to understand the concept of proportions, or ratios. A ratio is a comparison of two different numbers or quantities. In this case, the ratio is 75:84, or 75 out of 84. We can use this ratio to find the missing number.

## Calculating the missing number

To find the missing number, we need to first divide 75 by 84. This will give us the decimal 0.89285, which is the same as the ratio of 75:84. We can then multiply this decimal by the missing number to find the solution. If we multiply 0.89285 by the missing number, we will get 84, which is the answer to the question “84 is 75 of what number?”

## Simplifying the calculation

We can simplify the calculation by using the inverse of multiplication, which is division. If we divide 84 by 75, we will get the same answer of 0.89285. We can then divide this decimal by the missing number to get the solution. If we divide 0.89285 by the missing number, we will get 84, which is the answer to the question.

## Using a calculator to solve the problem

We can also use a calculator to solve this problem. If we enter 75 divided by 84 into the calculator, it will give us the decimal 0.89285. We can then multiply this decimal by the missing number to get the answer. If we multiply 0.89285 by the missing number, we will get 84, which is the answer to the question “84 is 75 of what number?”.

## Conclusion

In conclusion, the answer to the question “84 is 75 of what number?” is 112. This can be found by using basic arithmetic, dividing 84 by 75, or using a calculator. Once we understand the concept of ratios and proportions, it is easy to solve this problem. Knowing how to solve this type of problem can be useful in many different situations.

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In this article, we looked at the question “84 is 75 of what number?” and discussed how to solve it using basic arithmetic, proportions, and a calculator. We found that the answer to this question is 112. Knowing how to solve problems like this can be a valuable skill in many different areas.