8.63 is what percent of 14.99 - 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 14.99 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 14.99, so we can write it down as 100%=14.99.
4. We know, that x% equals 8.63 of the output value, so we can write it down as x%=8.63.
5. Now we have two simple equations:
1) 100%=14.99
2) x%=8.63
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%=14.99/8.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.63 is what percent of 14.99

100%/x%=14.99/8.63
(100/x)*x=(14.99/8.63)*x       - we multiply both sides of the equation by x
100=1.7369640787949*x       - we divide both sides of the equation by (1.7369640787949) to get x
100/1.7369640787949=x
57.571714476318=x
x=57.571714476318

now we have:
8.63 is 57.571714476318% of 14.99