70.16 is what percent of 167.06 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 167.06 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 167.06, so we can write it down as 100%=167.06.
4. We know, that x% equals 70.16 of the output value, so we can write it down as x%=70.16.
5. Now we have two simple equations:
1) 100%=167.06
2) x%=70.16
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%=167.06/70.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70.16 is what percent of 167.06

100%/x%=167.06/70.16
(100/x)*x=(167.06/70.16)*x       - we multiply both sides of the equation by x
100=2.3811288483466*x       - we divide both sides of the equation by (2.3811288483466) to get x
100/2.3811288483466=x
41.996887345864=x
x=41.996887345864

now we have:
70.16 is 41.996887345864% of 167.06