71.67 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 71.67 of the output value, so we can write it down as x%=71.67.
5. Now we have two simple equations:
1) 100%=15
2) x%=71.67
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%=15/71.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71.67 is what percent of 15

100%/x%=15/71.67
(100/x)*x=(15/71.67)*x       - we multiply both sides of the equation by x
100=0.20929259104228*x       - we divide both sides of the equation by (0.20929259104228) to get x
100/0.20929259104228=x
477.8=x
x=477.8

now we have:
71.67 is 477.8% of 15