120.24 is what percent of 217.8 - 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 217.8 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 217.8, so we can write it down as 100%=217.8.
4. We know, that x% equals 120.24 of the output value, so we can write it down as x%=120.24.
5. Now we have two simple equations:
1) 100%=217.8
2) x%=120.24
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%=217.8/120.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 120.24 is what percent of 217.8

100%/x%=217.8/120.24
(100/x)*x=(217.8/120.24)*x       - we multiply both sides of the equation by x
100=1.811377245509*x       - we divide both sides of the equation by (1.811377245509) to get x
100/1.811377245509=x
55.206611570248=x
x=55.206611570248

now we have:
120.24 is 55.206611570248% of 217.8