124.2 is what percent of 216.62 - 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 216.62 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 216.62, so we can write it down as 100%=216.62.
4. We know, that x% equals 124.2 of the output value, so we can write it down as x%=124.2.
5. Now we have two simple equations:
1) 100%=216.62
2) x%=124.2
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%=216.62/124.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 124.2 is what percent of 216.62

100%/x%=216.62/124.2
(100/x)*x=(216.62/124.2)*x       - we multiply both sides of the equation by x
100=1.7441223832528*x       - we divide both sides of the equation by (1.7441223832528) to get x
100/1.7441223832528=x
57.335426091774=x
x=57.335426091774

now we have:
124.2 is 57.335426091774% of 216.62