100.24 is what percent of 129.55 - 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 129.55 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 129.55, so we can write it down as 100%=129.55.
4. We know, that x% equals 100.24 of the output value, so we can write it down as x%=100.24.
5. Now we have two simple equations:
1) 100%=129.55
2) x%=100.24
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%=129.55/100.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 100.24 is what percent of 129.55

100%/x%=129.55/100.24
(100/x)*x=(129.55/100.24)*x       - we multiply both sides of the equation by x
100=1.2923982442139*x       - we divide both sides of the equation by (1.2923982442139) to get x
100/1.2923982442139=x
77.375530683134=x
x=77.375530683134

now we have:
100.24 is 77.375530683134% of 129.55