42.65 is what percent of 15 - 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 15 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 15, so we can write it down as 100%=15.
4. We know, that x% equals 42.65 of the output value, so we can write it down as x%=42.65.
5. Now we have two simple equations:
1) 100%=15
2) x%=42.65
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%=15/42.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.65 is what percent of 15

100%/x%=15/42.65
(100/x)*x=(15/42.65)*x       - we multiply both sides of the equation by x
100=0.351699882767*x       - we divide both sides of the equation by (0.351699882767) to get x
100/0.351699882767=x
284.333333333=x
x=284.333333333

now we have:
42.65 is 284.333333333% of 15