121.05 is what percent of 130.1 - 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 130.1 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 130.1, so we can write it down as 100%=130.1.
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%=130.1
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%=130.1/121.05
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 130.1

100%/x%=130.1/121.05
(100/x)*x=(130.1/121.05)*x       - we multiply both sides of the equation by x
100=1.0747624948368*x       - we divide both sides of the equation by (1.0747624948368) to get x
100/1.0747624948368=x
93.04381245196=x
x=93.04381245196

now we have:
121.05 is 93.04381245196% of 130.1