135.25 is what percent of 165.67 - 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 165.67 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 165.67, so we can write it down as 100%=165.67.
4. We know, that x% equals 135.25 of the output value, so we can write it down as x%=135.25.
5. Now we have two simple equations:
1) 100%=165.67
2) x%=135.25
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%=165.67/135.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 135.25 is what percent of 165.67

100%/x%=165.67/135.25
(100/x)*x=(165.67/135.25)*x       - we multiply both sides of the equation by x
100=1.2249168207024*x       - we divide both sides of the equation by (1.2249168207024) to get x
100/1.2249168207024=x
81.638196414559=x
x=81.638196414559

now we have:
135.25 is 81.638196414559% of 165.67