12.35 is what percent of 15.033 - 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 15.033 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 15.033, so we can write it down as 100%=15.033.
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%=15.033
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%=15.033/12.35
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 15.033

100%/x%=15.033/12.35
(100/x)*x=(15.033/12.35)*x       - we multiply both sides of the equation by x
100=1.2172469635628*x       - we divide both sides of the equation by (1.2172469635628) to get x
100/1.2172469635628=x
82.152597618572=x
x=82.152597618572

now we have:
12.35 is 82.152597618572% of 15.033