3.49 is what percent of 33.52 - 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 33.52 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 33.52, so we can write it down as 100%=33.52.
4. We know, that x% equals 3.49 of the output value, so we can write it down as x%=3.49.
5. Now we have two simple equations:
1) 100%=33.52
2) x%=3.49
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%=33.52/3.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.49 is what percent of 33.52

100%/x%=33.52/3.49
(100/x)*x=(33.52/3.49)*x       - we multiply both sides of the equation by x
100=9.6045845272206*x       - we divide both sides of the equation by (9.6045845272206) to get x
100/9.6045845272206=x
10.41169451074=x
x=10.41169451074

now we have:
3.49 is 10.41169451074% of 33.52