3.36 is what percent of 33.58 - 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 33.58 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 33.58, so we can write it down as 100%=33.58.
4. We know, that x% equals 3.36 of the output value, so we can write it down as x%=3.36.
5. Now we have two simple equations:
1) 100%=33.58
2) x%=3.36
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%=33.58/3.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.36 is what percent of 33.58

100%/x%=33.58/3.36
(100/x)*x=(33.58/3.36)*x       - we multiply both sides of the equation by x
100=9.9940476190476*x       - we divide both sides of the equation by (9.9940476190476) to get x
100/9.9940476190476=x
10.005955926147=x
x=10.005955926147

now we have:
3.36 is 10.005955926147% of 33.58