102.99 is what percent of 1415 - 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 1415 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 1415, so we can write it down as 100%=1415.
4. We know, that x% equals 102.99 of the output value, so we can write it down as x%=102.99.
5. Now we have two simple equations:
1) 100%=1415
2) x%=102.99
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%=1415/102.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.99 is what percent of 1415

100%/x%=1415/102.99
(100/x)*x=(1415/102.99)*x       - we multiply both sides of the equation by x
100=13.739197980386*x       - we divide both sides of the equation by (13.739197980386) to get x
100/13.739197980386=x
7.278445229682=x
x=7.278445229682

now we have:
102.99 is 7.278445229682% of 1415