3.66 is what percent of 13.03 - 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 13.03 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 13.03, so we can write it down as 100%=13.03.
4. We know, that x% equals 3.66 of the output value, so we can write it down as x%=3.66.
5. Now we have two simple equations:
1) 100%=13.03
2) x%=3.66
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%=13.03/3.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.66 is what percent of 13.03

100%/x%=13.03/3.66
(100/x)*x=(13.03/3.66)*x       - we multiply both sides of the equation by x
100=3.5601092896175*x       - we divide both sides of the equation by (3.5601092896175) to get x
100/3.5601092896175=x
28.08902532617=x
x=28.08902532617

now we have:
3.66 is 28.08902532617% of 13.03