13.35 is what percent of 1826.33 - 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 1826.33 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 1826.33, so we can write it down as 100%=1826.33.
4. We know, that x% equals 13.35 of the output value, so we can write it down as x%=13.35.
5. Now we have two simple equations:
1) 100%=1826.33
2) x%=13.35
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%=1826.33/13.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.35 is what percent of 1826.33

100%/x%=1826.33/13.35
(100/x)*x=(1826.33/13.35)*x       - we multiply both sides of the equation by x
100=136.80374531835*x       - we divide both sides of the equation by (136.80374531835) to get x
100/136.80374531835=x
0.7309741393943=x
x=0.7309741393943

now we have:
13.35 is 0.7309741393943% of 1826.33