45.1 is what percent of 532.4 - 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 532.4 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 532.4, so we can write it down as 100%=532.4.
4. We know, that x% equals 45.1 of the output value, so we can write it down as x%=45.1.
5. Now we have two simple equations:
1) 100%=532.4
2) x%=45.1
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%=532.4/45.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.1 is what percent of 532.4

100%/x%=532.4/45.1
(100/x)*x=(532.4/45.1)*x       - we multiply both sides of the equation by x
100=11.80487804878*x       - we divide both sides of the equation by (11.80487804878) to get x
100/11.80487804878=x
8.4710743801653=x
x=8.4710743801653

now we have:
45.1 is 8.4710743801653% of 532.4