32.85 is what percent of 123.15 - 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 123.15 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 123.15, so we can write it down as 100%=123.15.
4. We know, that x% equals 32.85 of the output value, so we can write it down as x%=32.85.
5. Now we have two simple equations:
1) 100%=123.15
2) x%=32.85
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%=123.15/32.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.85 is what percent of 123.15

100%/x%=123.15/32.85
(100/x)*x=(123.15/32.85)*x       - we multiply both sides of the equation by x
100=3.7488584474886*x       - we divide both sides of the equation by (3.7488584474886) to get x
100/3.7488584474886=x
26.674786845311=x
x=26.674786845311

now we have:
32.85 is 26.674786845311% of 123.15