121.05 is what percent of 125 - 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 125 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 125, so we can write it down as 100%=125.
4. We know, that x% equals 121.05 of the output value, so we can write it down as x%=121.05.
5. Now we have two simple equations:
1) 100%=125
2) x%=121.05
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%=125/121.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 121.05 is what percent of 125

100%/x%=125/121.05
(100/x)*x=(125/121.05)*x       - we multiply both sides of the equation by x
100=1.0326311441553*x       - we divide both sides of the equation by (1.0326311441553) to get x
100/1.0326311441553=x
96.84=x
x=96.84

now we have:
121.05 is 96.84% of 125