128.7 is what percent of 130.4 - 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 130.4 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 130.4, so we can write it down as 100%=130.4.
4. We know, that x% equals 128.7 of the output value, so we can write it down as x%=128.7.
5. Now we have two simple equations:
1) 100%=130.4
2) x%=128.7
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%=130.4/128.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 128.7 is what percent of 130.4

100%/x%=130.4/128.7
(100/x)*x=(130.4/128.7)*x       - we multiply both sides of the equation by x
100=1.013209013209*x       - we divide both sides of the equation by (1.013209013209) to get x
100/1.013209013209=x
98.696319018405=x
x=98.696319018405

now we have:
128.7 is 98.696319018405% of 130.4