545.42 is what percent of 1580.01 - 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 1580.01 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 1580.01, so we can write it down as 100%=1580.01.
4. We know, that x% equals 545.42 of the output value, so we can write it down as x%=545.42.
5. Now we have two simple equations:
1) 100%=1580.01
2) x%=545.42
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%=1580.01/545.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 545.42 is what percent of 1580.01

100%/x%=1580.01/545.42
(100/x)*x=(1580.01/545.42)*x       - we multiply both sides of the equation by x
100=2.8968684683363*x       - we divide both sides of the equation by (2.8968684683363) to get x
100/2.8968684683363=x
34.520034683325=x
x=34.520034683325

now we have:
545.42 is 34.520034683325% of 1580.01