121.33 is what percent of 137.93 - 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 137.93 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 137.93, so we can write it down as 100%=137.93.
4. We know, that x% equals 121.33 of the output value, so we can write it down as x%=121.33.
5. Now we have two simple equations:
1) 100%=137.93
2) x%=121.33
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%=137.93/121.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 121.33 is what percent of 137.93

100%/x%=137.93/121.33
(100/x)*x=(137.93/121.33)*x       - we multiply both sides of the equation by x
100=1.1368169455205*x       - we divide both sides of the equation by (1.1368169455205) to get x
100/1.1368169455205=x
87.964909736823=x
x=87.964909736823

now we have:
121.33 is 87.964909736823% of 137.93