502.2 is what percent of 1398.61 - 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 1398.61 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 1398.61, so we can write it down as 100%=1398.61.
4. We know, that x% equals 502.2 of the output value, so we can write it down as x%=502.2.
5. Now we have two simple equations:
1) 100%=1398.61
2) x%=502.2
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%=1398.61/502.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 502.2 is what percent of 1398.61

100%/x%=1398.61/502.2
(100/x)*x=(1398.61/502.2)*x       - we multiply both sides of the equation by x
100=2.7849661489446*x       - we divide both sides of the equation by (2.7849661489446) to get x
100/2.7849661489446=x
35.907079171463=x
x=35.907079171463

now we have:
502.2 is 35.907079171463% of 1398.61

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