45.09 is what percent of 532.73 - 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 532.73 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 532.73, so we can write it down as 100%=532.73.
4. We know, that x% equals 45.09 of the output value, so we can write it down as x%=45.09.
5. Now we have two simple equations:
1) 100%=532.73
2) x%=45.09
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%=532.73/45.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.09 is what percent of 532.73

100%/x%=532.73/45.09
(100/x)*x=(532.73/45.09)*x       - we multiply both sides of the equation by x
100=11.814814814815*x       - we divide both sides of the equation by (11.814814814815) to get x
100/11.814814814815=x
8.4639498432602=x
x=8.4639498432602

now we have:
45.09 is 8.4639498432602% of 532.73