76.81 is what percent of 422.5 - 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 422.5 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 422.5, so we can write it down as 100%=422.5.
4. We know, that x% equals 76.81 of the output value, so we can write it down as x%=76.81.
5. Now we have two simple equations:
1) 100%=422.5
2) x%=76.81
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%=422.5/76.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.81 is what percent of 422.5

100%/x%=422.5/76.81
(100/x)*x=(422.5/76.81)*x       - we multiply both sides of the equation by x
100=5.500585861216*x       - we divide both sides of the equation by (5.500585861216) to get x
100/5.500585861216=x
18.179881656805=x
x=18.179881656805

now we have:
76.81 is 18.179881656805% of 422.5