136.66 is what percent of 807.2 - 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 807.2 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 807.2, so we can write it down as 100%=807.2.
4. We know, that x% equals 136.66 of the output value, so we can write it down as x%=136.66.
5. Now we have two simple equations:
1) 100%=807.2
2) x%=136.66
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%=807.2/136.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 136.66 is what percent of 807.2

100%/x%=807.2/136.66
(100/x)*x=(807.2/136.66)*x       - we multiply both sides of the equation by x
100=5.9066295916874*x       - we divide both sides of the equation by (5.9066295916874) to get x
100/5.9066295916874=x
16.930128840436=x
x=16.930128840436

now we have:
136.66 is 16.930128840436% of 807.2