75.26 is what percent of 80.85 - 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 80.85 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 80.85, so we can write it down as 100%=80.85.
4. We know, that x% equals 75.26 of the output value, so we can write it down as x%=75.26.
5. Now we have two simple equations:
1) 100%=80.85
2) x%=75.26
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%=80.85/75.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75.26 is what percent of 80.85

100%/x%=80.85/75.26
(100/x)*x=(80.85/75.26)*x       - we multiply both sides of the equation by x
100=1.0742758437417*x       - we divide both sides of the equation by (1.0742758437417) to get x
100/1.0742758437417=x
93.08596165739=x
x=93.08596165739

now we have:
75.26 is 93.08596165739% of 80.85