126.06 is what percent of 167 - 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 167 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 167, so we can write it down as 100%=167.
4. We know, that x% equals 126.06 of the output value, so we can write it down as x%=126.06.
5. Now we have two simple equations:
1) 100%=167
2) x%=126.06
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%=167/126.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 126.06 is what percent of 167

100%/x%=167/126.06
(100/x)*x=(167/126.06)*x       - we multiply both sides of the equation by x
100=1.3247659844518*x       - we divide both sides of the equation by (1.3247659844518) to get x
100/1.3247659844518=x
75.48502994012=x
x=75.48502994012

now we have:
126.06 is 75.48502994012% of 167

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