122.4 is what percent of 11842.5 - 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 11842.5 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 11842.5, so we can write it down as 100%=11842.5.
4. We know, that x% equals 122.4 of the output value, so we can write it down as x%=122.4.
5. Now we have two simple equations:
1) 100%=11842.5
2) x%=122.4
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%=11842.5/122.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 122.4 is what percent of 11842.5

100%/x%=11842.5/122.4
(100/x)*x=(11842.5/122.4)*x       - we multiply both sides of the equation by x
100=96.752450980392*x       - we divide both sides of the equation by (96.752450980392) to get x
100/96.752450980392=x
1.0335655478151=x
x=1.0335655478151

now we have:
122.4 is 1.0335655478151% of 11842.5