95.56 is what percent of 171.48 - 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 171.48 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 171.48, so we can write it down as 100%=171.48.
4. We know, that x% equals 95.56 of the output value, so we can write it down as x%=95.56.
5. Now we have two simple equations:
1) 100%=171.48
2) x%=95.56
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%=171.48/95.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 95.56 is what percent of 171.48

100%/x%=171.48/95.56
(100/x)*x=(171.48/95.56)*x       - we multiply both sides of the equation by x
100=1.7944746755965*x       - we divide both sides of the equation by (1.7944746755965) to get x
100/1.7944746755965=x
55.726615348729=x
x=55.726615348729

now we have:
95.56 is 55.726615348729% of 171.48