76.45 is what percent of 81.04 - 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 81.04 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 81.04, so we can write it down as 100%=81.04.
4. We know, that x% equals 76.45 of the output value, so we can write it down as x%=76.45.
5. Now we have two simple equations:
1) 100%=81.04
2) x%=76.45
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%=81.04/76.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.45 is what percent of 81.04

100%/x%=81.04/76.45
(100/x)*x=(81.04/76.45)*x       - we multiply both sides of the equation by x
100=1.0600392413342*x       - we divide both sides of the equation by (1.0600392413342) to get x
100/1.0600392413342=x
94.336130306022=x
x=94.336130306022

now we have:
76.45 is 94.336130306022% of 81.04