460.18 is what percent of 1580.96 - 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 1580.96 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 1580.96, so we can write it down as 100%=1580.96.
4. We know, that x% equals 460.18 of the output value, so we can write it down as x%=460.18.
5. Now we have two simple equations:
1) 100%=1580.96
2) x%=460.18
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%=1580.96/460.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 460.18 is what percent of 1580.96

100%/x%=1580.96/460.18
(100/x)*x=(1580.96/460.18)*x       - we multiply both sides of the equation by x
100=3.4355252292581*x       - we divide both sides of the equation by (3.4355252292581) to get x
100/3.4355252292581=x
29.107630806599=x
x=29.107630806599

now we have:
460.18 is 29.107630806599% of 1580.96