20.31 is what percent of 475 - 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 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, so we can write it down as 100%=475.
4. We know, that x% equals 20.31 of the output value, so we can write it down as x%=20.31.
5. Now we have two simple equations:
1) 100%=475
2) x%=20.31
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%=475/20.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.31 is what percent of 475

100%/x%=475/20.31
(100/x)*x=(475/20.31)*x       - we multiply both sides of the equation by x
100=23.387493845396*x       - we divide both sides of the equation by (23.387493845396) to get x
100/23.387493845396=x
4.2757894736842=x
x=4.2757894736842

now we have:
20.31 is 4.2757894736842% of 475