36.9 is what percent of 136.9 - 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 136.9 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 136.9, so we can write it down as 100%=136.9.
4. We know, that x% equals 36.9 of the output value, so we can write it down as x%=36.9.
5. Now we have two simple equations:
1) 100%=136.9
2) x%=36.9
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%=136.9/36.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.9 is what percent of 136.9

100%/x%=136.9/36.9
(100/x)*x=(136.9/36.9)*x       - we multiply both sides of the equation by x
100=3.710027100271*x       - we divide both sides of the equation by (3.710027100271) to get x
100/3.710027100271=x
26.953981008035=x
x=26.953981008035

now we have:
36.9 is 26.953981008035% of 136.9