12.35 is what percent of 111.88 - 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 111.88 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 111.88, so we can write it down as 100%=111.88.
4. We know, that x% equals 12.35 of the output value, so we can write it down as x%=12.35.
5. Now we have two simple equations:
1) 100%=111.88
2) x%=12.35
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%=111.88/12.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.35 is what percent of 111.88

100%/x%=111.88/12.35
(100/x)*x=(111.88/12.35)*x       - we multiply both sides of the equation by x
100=9.0591093117409*x       - we divide both sides of the equation by (9.0591093117409) to get x
100/9.0591093117409=x
11.038612799428=x
x=11.038612799428

now we have:
12.35 is 11.038612799428% of 111.88