52.1 is what percent of 476.25 - 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 476.25 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 476.25, so we can write it down as 100%=476.25.
4. We know, that x% equals 52.1 of the output value, so we can write it down as x%=52.1.
5. Now we have two simple equations:
1) 100%=476.25
2) x%=52.1
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%=476.25/52.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.1 is what percent of 476.25

100%/x%=476.25/52.1
(100/x)*x=(476.25/52.1)*x       - we multiply both sides of the equation by x
100=9.1410748560461*x       - we divide both sides of the equation by (9.1410748560461) to get x
100/9.1410748560461=x
10.939632545932=x
x=10.939632545932

now we have:
52.1 is 10.939632545932% of 476.25