76.5 is what percent of 82.3 - 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 82.3 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 82.3, so we can write it down as 100%=82.3.
4. We know, that x% equals 76.5 of the output value, so we can write it down as x%=76.5.
5. Now we have two simple equations:
1) 100%=82.3
2) x%=76.5
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%=82.3/76.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.5 is what percent of 82.3

100%/x%=82.3/76.5
(100/x)*x=(82.3/76.5)*x       - we multiply both sides of the equation by x
100=1.0758169934641*x       - we divide both sides of the equation by (1.0758169934641) to get x
100/1.0758169934641=x
92.952612393682=x
x=92.952612393682

now we have:
76.5 is 92.952612393682% of 82.3