76.07 is what percent of 87.75 - 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 87.75 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 87.75, so we can write it down as 100%=87.75.
4. We know, that x% equals 76.07 of the output value, so we can write it down as x%=76.07.
5. Now we have two simple equations:
1) 100%=87.75
2) x%=76.07
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%=87.75/76.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.07 is what percent of 87.75

100%/x%=87.75/76.07
(100/x)*x=(87.75/76.07)*x       - we multiply both sides of the equation by x
100=1.153542789536*x       - we divide both sides of the equation by (1.153542789536) to get x
100/1.153542789536=x
86.689458689459=x
x=86.689458689459

now we have:
76.07 is 86.689458689459% of 87.75