31.77 is what percent of 55.15 - 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 55.15 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 55.15, so we can write it down as 100%=55.15.
4. We know, that x% equals 31.77 of the output value, so we can write it down as x%=31.77.
5. Now we have two simple equations:
1) 100%=55.15
2) x%=31.77
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%=55.15/31.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.77 is what percent of 55.15

100%/x%=55.15/31.77
(100/x)*x=(55.15/31.77)*x       - we multiply both sides of the equation by x
100=1.7359143846396*x       - we divide both sides of the equation by (1.7359143846396) to get x
100/1.7359143846396=x
57.606527651859=x
x=57.606527651859

now we have:
31.77 is 57.606527651859% of 55.15