15 is what percent of 42.66 - 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 42.66 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 42.66, so we can write it down as 100%=42.66.
4. We know, that x% equals 15 of the output value, so we can write it down as x%=15.
5. Now we have two simple equations:
1) 100%=42.66
2) x%=15
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%=42.66/15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15 is what percent of 42.66

100%/x%=42.66/15
(100/x)*x=(42.66/15)*x       - we multiply both sides of the equation by x
100=2.844*x       - we divide both sides of the equation by (2.844) to get x
100/2.844=x
35.161744022504=x
x=35.161744022504

now we have:
15 is 35.161744022504% of 42.66