13.33 is what percent of 13.04 - 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 13.04 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 13.04, so we can write it down as 100%=13.04.
4. We know, that x% equals 13.33 of the output value, so we can write it down as x%=13.33.
5. Now we have two simple equations:
1) 100%=13.04
2) x%=13.33
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%=13.04/13.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.33 is what percent of 13.04

100%/x%=13.04/13.33
(100/x)*x=(13.04/13.33)*x       - we multiply both sides of the equation by x
100=0.97824456114029*x       - we divide both sides of the equation by (0.97824456114029) to get x
100/0.97824456114029=x
102.22392638037=x
x=102.22392638037

now we have:
13.33 is 102.22392638037% of 13.04