80.37 is what percent of 482.13 - 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 482.13 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 482.13, so we can write it down as 100%=482.13.
4. We know, that x% equals 80.37 of the output value, so we can write it down as x%=80.37.
5. Now we have two simple equations:
1) 100%=482.13
2) x%=80.37
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%=482.13/80.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 80.37 is what percent of 482.13

100%/x%=482.13/80.37
(100/x)*x=(482.13/80.37)*x       - we multiply both sides of the equation by x
100=5.9988801791713*x       - we divide both sides of the equation by (5.9988801791713) to get x
100/5.9988801791713=x
16.669777860743=x
x=16.669777860743

now we have:
80.37 is 16.669777860743% of 482.13