27.2 is what percent of 136.35 - 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 136.35 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 136.35, so we can write it down as 100%=136.35.
4. We know, that x% equals 27.2 of the output value, so we can write it down as x%=27.2.
5. Now we have two simple equations:
1) 100%=136.35
2) x%=27.2
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%=136.35/27.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.2 is what percent of 136.35

100%/x%=136.35/27.2
(100/x)*x=(136.35/27.2)*x       - we multiply both sides of the equation by x
100=5.0128676470588*x       - we divide both sides of the equation by (5.0128676470588) to get x
100/5.0128676470588=x
19.94866153282=x
x=19.94866153282

now we have:
27.2 is 19.94866153282% of 136.35