242.28 is what percent of 7133.33 - 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 7133.33 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 7133.33, so we can write it down as 100%=7133.33.
4. We know, that x% equals 242.28 of the output value, so we can write it down as x%=242.28.
5. Now we have two simple equations:
1) 100%=7133.33
2) x%=242.28
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%=7133.33/242.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 242.28 is what percent of 7133.33

100%/x%=7133.33/242.28
(100/x)*x=(7133.33/242.28)*x       - we multiply both sides of the equation by x
100=29.442504540201*x       - we divide both sides of the equation by (29.442504540201) to get x
100/29.442504540201=x
3.3964501852571=x
x=3.3964501852571

now we have:
242.28 is 3.3964501852571% of 7133.33