242.4 is what percent of 318.2 - 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 318.2 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 318.2, so we can write it down as 100%=318.2.
4. We know, that x% equals 242.4 of the output value, so we can write it down as x%=242.4.
5. Now we have two simple equations:
1) 100%=318.2
2) x%=242.4
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%=318.2/242.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 242.4 is what percent of 318.2

100%/x%=318.2/242.4
(100/x)*x=(318.2/242.4)*x       - we multiply both sides of the equation by x
100=1.3127062706271*x       - we divide both sides of the equation by (1.3127062706271) to get x
100/1.3127062706271=x
76.178504085481=x
x=76.178504085481

now we have:
242.4 is 76.178504085481% of 318.2