20 is what percent of 13999 - 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 13999 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 13999, so we can write it down as 100%=13999.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=13999
2) x%=20
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%=13999/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20 is what percent of 13999

100%/x%=13999/20
(100/x)*x=(13999/20)*x       - we multiply both sides of the equation by x
100=699.95*x       - we divide both sides of the equation by (699.95) to get x
100/699.95=x
0.14286734766769=x
x=0.14286734766769

now we have:
20 is 0.14286734766769% of 13999