4.75 is what percent of 520.12 - 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 520.12 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 520.12, so we can write it down as 100%=520.12.
4. We know, that x% equals 4.75 of the output value, so we can write it down as x%=4.75.
5. Now we have two simple equations:
1) 100%=520.12
2) x%=4.75
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%=520.12/4.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.75 is what percent of 520.12

100%/x%=520.12/4.75
(100/x)*x=(520.12/4.75)*x       - we multiply both sides of the equation by x
100=109.49894736842*x       - we divide both sides of the equation by (109.49894736842) to get x
100/109.49894736842=x
0.91325078827963=x
x=0.91325078827963

now we have:
4.75 is 0.91325078827963% of 520.12

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