112.2 is what percent of 1701.87 - 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 1701.87 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 1701.87, so we can write it down as 100%=1701.87.
4. We know, that x% equals 112.2 of the output value, so we can write it down as x%=112.2.
5. Now we have two simple equations:
1) 100%=1701.87
2) x%=112.2
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%=1701.87/112.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 112.2 is what percent of 1701.87

100%/x%=1701.87/112.2
(100/x)*x=(1701.87/112.2)*x       - we multiply both sides of the equation by x
100=15.168181818182*x       - we divide both sides of the equation by (15.168181818182) to get x
100/15.168181818182=x
6.5927479772251=x
x=6.5927479772251

now we have:
112.2 is 6.5927479772251% of 1701.87

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