2684.56 is what percent of 13387.32 - 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 13387.32 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 13387.32, so we can write it down as 100%=13387.32.
4. We know, that x% equals 2684.56 of the output value, so we can write it down as x%=2684.56.
5. Now we have two simple equations:
1) 100%=13387.32
2) x%=2684.56
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%=13387.32/2684.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2684.56 is what percent of 13387.32

100%/x%=13387.32/2684.56
(100/x)*x=(13387.32/2684.56)*x       - we multiply both sides of the equation by x
100=4.9867836814972*x       - we divide both sides of the equation by (4.9867836814972) to get x
100/4.9867836814972=x
20.053005381211=x
x=20.053005381211

now we have:
2684.56 is 20.053005381211% of 13387.32