12.32 is what percent of 35.13 - 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 35.13 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 35.13, so we can write it down as 100%=35.13.
4. We know, that x% equals 12.32 of the output value, so we can write it down as x%=12.32.
5. Now we have two simple equations:
1) 100%=35.13
2) x%=12.32
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%=35.13/12.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.32 is what percent of 35.13

100%/x%=35.13/12.32
(100/x)*x=(35.13/12.32)*x       - we multiply both sides of the equation by x
100=2.851461038961*x       - we divide both sides of the equation by (2.851461038961) to get x
100/2.851461038961=x
35.069740962141=x
x=35.069740962141

now we have:
12.32 is 35.069740962141% of 35.13