15.7 is what percent of 33.2 - 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 33.2 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 33.2, so we can write it down as 100%=33.2.
4. We know, that x% equals 15.7 of the output value, so we can write it down as x%=15.7.
5. Now we have two simple equations:
1) 100%=33.2
2) x%=15.7
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%=33.2/15.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.7 is what percent of 33.2

100%/x%=33.2/15.7
(100/x)*x=(33.2/15.7)*x       - we multiply both sides of the equation by x
100=2.1146496815287*x       - we divide both sides of the equation by (2.1146496815287) to get x
100/2.1146496815287=x
47.289156626506=x
x=47.289156626506

now we have:
15.7 is 47.289156626506% of 33.2