80.87 is what percent of 475.2 - 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 475.2 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 475.2, so we can write it down as 100%=475.2.
4. We know, that x% equals 80.87 of the output value, so we can write it down as x%=80.87.
5. Now we have two simple equations:
1) 100%=475.2
2) x%=80.87
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%=475.2/80.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 80.87 is what percent of 475.2

100%/x%=475.2/80.87
(100/x)*x=(475.2/80.87)*x       - we multiply both sides of the equation by x
100=5.8760974403363*x       - we divide both sides of the equation by (5.8760974403363) to get x
100/5.8760974403363=x
17.018097643098=x
x=17.018097643098

now we have:
80.87 is 17.018097643098% of 475.2