0.33 is what percent of 13.25 - 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 13.25 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 13.25, so we can write it down as 100%=13.25.
4. We know, that x% equals 0.33 of the output value, so we can write it down as x%=0.33.
5. Now we have two simple equations:
1) 100%=13.25
2) x%=0.33
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%=13.25/0.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.33 is what percent of 13.25

100%/x%=13.25/0.33
(100/x)*x=(13.25/0.33)*x       - we multiply both sides of the equation by x
100=40.151515151515*x       - we divide both sides of the equation by (40.151515151515) to get x
100/40.151515151515=x
2.4905660377358=x
x=2.4905660377358

now we have:
0.33 is 2.4905660377358% of 13.25