11.19 is what percent of 127.9 - 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 127.9 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 127.9, so we can write it down as 100%=127.9.
4. We know, that x% equals 11.19 of the output value, so we can write it down as x%=11.19.
5. Now we have two simple equations:
1) 100%=127.9
2) x%=11.19
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%=127.9/11.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.19 is what percent of 127.9

100%/x%=127.9/11.19
(100/x)*x=(127.9/11.19)*x       - we multiply both sides of the equation by x
100=11.429848078642*x       - we divide both sides of the equation by (11.429848078642) to get x
100/11.429848078642=x
8.749022673964=x
x=8.749022673964

now we have:
11.19 is 8.749022673964% of 127.9