119.23 is what percent of 130.68 - 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 130.68 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 130.68, so we can write it down as 100%=130.68.
4. We know, that x% equals 119.23 of the output value, so we can write it down as x%=119.23.
5. Now we have two simple equations:
1) 100%=130.68
2) x%=119.23
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%=130.68/119.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 119.23 is what percent of 130.68

100%/x%=130.68/119.23
(100/x)*x=(130.68/119.23)*x       - we multiply both sides of the equation by x
100=1.0960328776315*x       - we divide both sides of the equation by (1.0960328776315) to get x
100/1.0960328776315=x
91.238138965412=x
x=91.238138965412

now we have:
119.23 is 91.238138965412% of 130.68