272.77 is what percent of 165.25 - 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 165.25 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 165.25, so we can write it down as 100%=165.25.
4. We know, that x% equals 272.77 of the output value, so we can write it down as x%=272.77.
5. Now we have two simple equations:
1) 100%=165.25
2) x%=272.77
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%=165.25/272.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 272.77 is what percent of 165.25

100%/x%=165.25/272.77
(100/x)*x=(165.25/272.77)*x       - we multiply both sides of the equation by x
100=0.60582175459178*x       - we divide both sides of the equation by (0.60582175459178) to get x
100/0.60582175459178=x
165.06505295008=x
x=165.06505295008

now we have:
272.77 is 165.06505295008% of 165.25