471.82 is what percent of 908 - 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 908 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 908, so we can write it down as 100%=908.
4. We know, that x% equals 471.82 of the output value, so we can write it down as x%=471.82.
5. Now we have two simple equations:
1) 100%=908
2) x%=471.82
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%=908/471.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 471.82 is what percent of 908

100%/x%=908/471.82
(100/x)*x=(908/471.82)*x       - we multiply both sides of the equation by x
100=1.9244627188335*x       - we divide both sides of the equation by (1.9244627188335) to get x
100/1.9244627188335=x
51.962555066079=x
x=51.962555066079

now we have:
471.82 is 51.962555066079% of 908