9999.99 is what percent of 15240 - 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 15240 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 15240, so we can write it down as 100%=15240.
4. We know, that x% equals 9999.99 of the output value, so we can write it down as x%=9999.99.
5. Now we have two simple equations:
1) 100%=15240
2) x%=9999.99
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%=15240/9999.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9999.99 is what percent of 15240

100%/x%=15240/9999.99
(100/x)*x=(15240/9999.99)*x       - we multiply both sides of the equation by x
100=1.5240015240015*x       - we divide both sides of the equation by (1.5240015240015) to get x
100/1.5240015240015=x
65.616732283465=x
x=65.616732283465

now we have:
9999.99 is 65.616732283465% of 15240