157.6 is what percent of 162.54 - 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 162.54 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 162.54, so we can write it down as 100%=162.54.
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%=162.54
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%=162.54/157.6
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 162.54

100%/x%=162.54/157.6
(100/x)*x=(162.54/157.6)*x       - we multiply both sides of the equation by x
100=1.031345177665*x       - we divide both sides of the equation by (1.031345177665) to get x
100/1.031345177665=x
96.960748123539=x
x=96.960748123539

now we have:
157.6 is 96.960748123539% of 162.54