478.4 is what percent of 52 - 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 52 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 52, so we can write it down as 100%=52.
4. We know, that x% equals 478.4 of the output value, so we can write it down as x%=478.4.
5. Now we have two simple equations:
1) 100%=52
2) x%=478.4
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%=52/478.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 478.4 is what percent of 52

100%/x%=52/478.4
(100/x)*x=(52/478.4)*x       - we multiply both sides of the equation by x
100=0.10869565217391*x       - we divide both sides of the equation by (0.10869565217391) to get x
100/0.10869565217391=x
920=x
x=920

now we have:
478.4 is 920% of 52