52 is what percent of 4317 - 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 4317 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 4317, so we can write it down as 100%=4317.
4. We know, that x% equals 52 of the output value, so we can write it down as x%=52.
5. Now we have two simple equations:
1) 100%=4317
2) x%=52
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%=4317/52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52 is what percent of 4317

100%/x%=4317/52
(100/x)*x=(4317/52)*x       - we multiply both sides of the equation by x
100=83.019230769231*x       - we divide both sides of the equation by (83.019230769231) to get x
100/83.019230769231=x
1.2045401899467=x
x=1.2045401899467

now we have:
52 is 1.2045401899467% of 4317

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