124.1 is what percent of 101.2 - 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 101.2 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 101.2, so we can write it down as 100%=101.2.
4. We know, that x% equals 124.1 of the output value, so we can write it down as x%=124.1.
5. Now we have two simple equations:
1) 100%=101.2
2) x%=124.1
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%=101.2/124.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 124.1 is what percent of 101.2

100%/x%=101.2/124.1
(100/x)*x=(101.2/124.1)*x       - we multiply both sides of the equation by x
100=0.81547139403707*x       - we divide both sides of the equation by (0.81547139403707) to get x
100/0.81547139403707=x
122.62845849802=x
x=122.62845849802

now we have:
124.1 is 122.62845849802% of 101.2