58 is what percent of 750 - step by step solution

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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 750 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 750, so we can write it down as 100%=750.
4. We know, that x% equals 58 of the output value, so we can write it down as x%=58.
5. Now we have two simple equations:
1) 100%=750
2) x%=58
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%=750/58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58 is what percent of 750

100%/x%=750/58
(100/x)*x=(750/58)*x       - we multiply both sides of the equation by x
100=12.931034482759*x       - we divide both sides of the equation by (12.931034482759) to get x
100/12.931034482759=x
7.7333333333333=x
x=7.7333333333333

now we have:
58 is 7.7333333333333% of 750

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