71.07 is what percent of 77.25 - 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 77.25 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 77.25, so we can write it down as 100%=77.25.
4. We know, that x% equals 71.07 of the output value, so we can write it down as x%=71.07.
5. Now we have two simple equations:
1) 100%=77.25
2) x%=71.07
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%=77.25/71.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71.07 is what percent of 77.25

100%/x%=77.25/71.07
(100/x)*x=(77.25/71.07)*x       - we multiply both sides of the equation by x
100=1.0869565217391*x       - we divide both sides of the equation by (1.0869565217391) to get x
100/1.0869565217391=x
92=x
x=92

now we have:
71.07 is 92% of 77.25