242.83 is what percent of 325.13 - 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 325.13 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 325.13, so we can write it down as 100%=325.13.
4. We know, that x% equals 242.83 of the output value, so we can write it down as x%=242.83.
5. Now we have two simple equations:
1) 100%=325.13
2) x%=242.83
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%=325.13/242.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 242.83 is what percent of 325.13

100%/x%=325.13/242.83
(100/x)*x=(325.13/242.83)*x       - we multiply both sides of the equation by x
100=1.3389202322613*x       - we divide both sides of the equation by (1.3389202322613) to get x
100/1.3389202322613=x
74.68704825762=x
x=74.68704825762

now we have:
242.83 is 74.68704825762% of 325.13