11.48 is what percent of 140.42 - 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 140.42 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 140.42, so we can write it down as 100%=140.42.
4. We know, that x% equals 11.48 of the output value, so we can write it down as x%=11.48.
5. Now we have two simple equations:
1) 100%=140.42
2) x%=11.48
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%=140.42/11.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.48 is what percent of 140.42

100%/x%=140.42/11.48
(100/x)*x=(140.42/11.48)*x       - we multiply both sides of the equation by x
100=12.231707317073*x       - we divide both sides of the equation by (12.231707317073) to get x
100/12.231707317073=x
8.1754735792622=x
x=8.1754735792622

now we have:
11.48 is 8.1754735792622% of 140.42