5.62 is what percent of 460.13 - 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 460.13 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 460.13, so we can write it down as 100%=460.13.
4. We know, that x% equals 5.62 of the output value, so we can write it down as x%=5.62.
5. Now we have two simple equations:
1) 100%=460.13
2) x%=5.62
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%=460.13/5.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.62 is what percent of 460.13

100%/x%=460.13/5.62
(100/x)*x=(460.13/5.62)*x       - we multiply both sides of the equation by x
100=81.873665480427*x       - we divide both sides of the equation by (81.873665480427) to get x
100/81.873665480427=x
1.2213939538826=x
x=1.2213939538826

now we have:
5.62 is 1.2213939538826% of 460.13