185.02 is what percent of 324.47 - 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 324.47 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 324.47, so we can write it down as 100%=324.47.
4. We know, that x% equals 185.02 of the output value, so we can write it down as x%=185.02.
5. Now we have two simple equations:
1) 100%=324.47
2) x%=185.02
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%=324.47/185.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 185.02 is what percent of 324.47

100%/x%=324.47/185.02
(100/x)*x=(324.47/185.02)*x       - we multiply both sides of the equation by x
100=1.7537023024538*x       - we divide both sides of the equation by (1.7537023024538) to get x
100/1.7537023024538=x
57.022220852467=x
x=57.022220852467

now we have:
185.02 is 57.022220852467% of 324.47