8 is what percent of 32.75 - step by step solution

Simple and best practice solution for 8 is what percent of 32.75. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

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To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 32.75 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 32.75, so we can write it down as 100%=32.75.
4. We know, that x% equals 8 of the output value, so we can write it down as x%=8.
5. Now we have two simple equations:
1) 100%=32.75
2) x%=8
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=32.75/8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8 is what percent of 32.75

100%/x%=32.75/8
(100/x)*x=(32.75/8)*x       - we multiply both sides of the equation by x
100=4.09375*x       - we divide both sides of the equation by (4.09375) to get x
100/4.09375=x
24.427480916031=x
x=24.427480916031

now we have:
8 is 24.427480916031% of 32.75

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