242.15 is what percent of 40.923 - 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 40.923 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 40.923, so we can write it down as 100%=40.923.
4. We know, that x% equals 242.15 of the output value, so we can write it down as x%=242.15.
5. Now we have two simple equations:
1) 100%=40.923
2) x%=242.15
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%=40.923/242.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 242.15 is what percent of 40.923

100%/x%=40.923/242.15
(100/x)*x=(40.923/242.15)*x       - we multiply both sides of the equation by x
100=0.16899855461491*x       - we divide both sides of the equation by (0.16899855461491) to get x
100/0.16899855461491=x
591.72103706962=x
x=591.72103706962

now we have:
242.15 is 591.72103706962% of 40.923