36.95 is what percent of 26.95 - 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 26.95 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 26.95, so we can write it down as 100%=26.95.
4. We know, that x% equals 36.95 of the output value, so we can write it down as x%=36.95.
5. Now we have two simple equations:
1) 100%=26.95
2) x%=36.95
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%=26.95/36.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.95 is what percent of 26.95

100%/x%=26.95/36.95
(100/x)*x=(26.95/36.95)*x       - we multiply both sides of the equation by x
100=0.72936400541272*x       - we divide both sides of the equation by (0.72936400541272) to get x
100/0.72936400541272=x
137.10575139147=x
x=137.10575139147

now we have:
36.95 is 137.10575139147% of 26.95