91.57 is what percent of 478.24 - 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 478.24 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 478.24, so we can write it down as 100%=478.24.
4. We know, that x% equals 91.57 of the output value, so we can write it down as x%=91.57.
5. Now we have two simple equations:
1) 100%=478.24
2) x%=91.57
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%=478.24/91.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 91.57 is what percent of 478.24

100%/x%=478.24/91.57
(100/x)*x=(478.24/91.57)*x       - we multiply both sides of the equation by x
100=5.2226711805176*x       - we divide both sides of the equation by (5.2226711805176) to get x
100/5.2226711805176=x
19.147290063566=x
x=19.147290063566

now we have:
91.57 is 19.147290063566% of 478.24