65.02 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 65.02 of the output value, so we can write it down as x%=65.02.
5. Now we have two simple equations:
1) 100%=15
2) x%=65.02
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%=15/65.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.02 is what percent of 15

100%/x%=15/65.02
(100/x)*x=(15/65.02)*x       - we multiply both sides of the equation by x
100=0.23069824669333*x       - we divide both sides of the equation by (0.23069824669333) to get x
100/0.23069824669333=x
433.46666666667=x
x=433.46666666667

now we have:
65.02 is 433.46666666667% of 15