552.83 is what percent of 327.12 - 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 327.12 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 327.12, so we can write it down as 100%=327.12.
4. We know, that x% equals 552.83 of the output value, so we can write it down as x%=552.83.
5. Now we have two simple equations:
1) 100%=327.12
2) x%=552.83
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%=327.12/552.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 552.83 is what percent of 327.12

100%/x%=327.12/552.83
(100/x)*x=(327.12/552.83)*x       - we multiply both sides of the equation by x
100=0.59171897328293*x       - we divide both sides of the equation by (0.59171897328293) to get x
100/0.59171897328293=x
168.999144045=x
x=168.999144045

now we have:
552.83 is 168.999144045% of 327.12