242.5 is what percent of 327.5 - 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 327.5 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 327.5, so we can write it down as 100%=327.5.
4. We know, that x% equals 242.5 of the output value, so we can write it down as x%=242.5.
5. Now we have two simple equations:
1) 100%=327.5
2) x%=242.5
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%=327.5/242.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 242.5 is what percent of 327.5

100%/x%=327.5/242.5
(100/x)*x=(327.5/242.5)*x       - we multiply both sides of the equation by x
100=1.3505154639175*x       - we divide both sides of the equation by (1.3505154639175) to get x
100/1.3505154639175=x
74.045801526718=x
x=74.045801526718

now we have:
242.5 is 74.045801526718% of 327.5