14285.71 is what percent of 71428.57 - 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 71428.57 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 71428.57, so we can write it down as 100%=71428.57.
4. We know, that x% equals 14285.71 of the output value, so we can write it down as x%=14285.71.
5. Now we have two simple equations:
1) 100%=71428.57
2) x%=14285.71
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%=71428.57/14285.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14285.71 is what percent of 71428.57

100%/x%=71428.57/14285.71
(100/x)*x=(71428.57/14285.71)*x       - we multiply both sides of the equation by x
100=5.0000014000004*x       - we divide both sides of the equation by (5.0000014000004) to get x
100/5.0000014000004=x
19.9999944=x
x=19.9999944

now we have:
14285.71 is 19.9999944% of 71428.57