71.86 is what percent of 455.04 - 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 455.04 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 455.04, so we can write it down as 100%=455.04.
4. We know, that x% equals 71.86 of the output value, so we can write it down as x%=71.86.
5. Now we have two simple equations:
1) 100%=455.04
2) x%=71.86
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%=455.04/71.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71.86 is what percent of 455.04

100%/x%=455.04/71.86
(100/x)*x=(455.04/71.86)*x       - we multiply both sides of the equation by x
100=6.3323128305038*x       - we divide both sides of the equation by (6.3323128305038) to get x
100/6.3323128305038=x
15.792018284107=x
x=15.792018284107

now we have:
71.86 is 15.792018284107% of 455.04