157.17 is what percent of 179.13 - 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 179.13 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 179.13, so we can write it down as 100%=179.13.
4. We know, that x% equals 157.17 of the output value, so we can write it down as x%=157.17.
5. Now we have two simple equations:
1) 100%=179.13
2) x%=157.17
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%=179.13/157.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 157.17 is what percent of 179.13

100%/x%=179.13/157.17
(100/x)*x=(179.13/157.17)*x       - we multiply both sides of the equation by x
100=1.1397213208628*x       - we divide both sides of the equation by (1.1397213208628) to get x
100/1.1397213208628=x
87.740746943561=x
x=87.740746943561

now we have:
157.17 is 87.740746943561% of 179.13