11.07 is what percent of 25.9 - 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 25.9 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 25.9, so we can write it down as 100%=25.9.
4. We know, that x% equals 11.07 of the output value, so we can write it down as x%=11.07.
5. Now we have two simple equations:
1) 100%=25.9
2) x%=11.07
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%=25.9/11.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.07 is what percent of 25.9

100%/x%=25.9/11.07
(100/x)*x=(25.9/11.07)*x       - we multiply both sides of the equation by x
100=2.3396567299006*x       - we divide both sides of the equation by (2.3396567299006) to get x
100/2.3396567299006=x
42.741312741313=x
x=42.741312741313

now we have:
11.07 is 42.741312741313% of 25.9