6986.79 is what percent of 15000 - 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 15000 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 15000, so we can write it down as 100%=15000.
4. We know, that x% equals 6986.79 of the output value, so we can write it down as x%=6986.79.
5. Now we have two simple equations:
1) 100%=15000
2) x%=6986.79
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%=15000/6986.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6986.79 is what percent of 15000

100%/x%=15000/6986.79
(100/x)*x=(15000/6986.79)*x       - we multiply both sides of the equation by x
100=2.1469086662115*x       - we divide both sides of the equation by (2.1469086662115) to get x
100/2.1469086662115=x
46.5786=x
x=46.5786

now we have:
6986.79 is 46.5786% of 15000