157.6 is what percent of 171 - 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 171 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 171, so we can write it down as 100%=171.
4. We know, that x% equals 157.6 of the output value, so we can write it down as x%=157.6.
5. Now we have two simple equations:
1) 100%=171
2) x%=157.6
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%=171/157.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 157.6 is what percent of 171

100%/x%=171/157.6
(100/x)*x=(171/157.6)*x       - we multiply both sides of the equation by x
100=1.0850253807107*x       - we divide both sides of the equation by (1.0850253807107) to get x
100/1.0850253807107=x
92.163742690058=x
x=92.163742690058

now we have:
157.6 is 92.163742690058% of 171