215.43 is what percent of 6826.27 - 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 6826.27 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 6826.27, so we can write it down as 100%=6826.27.
4. We know, that x% equals 215.43 of the output value, so we can write it down as x%=215.43.
5. Now we have two simple equations:
1) 100%=6826.27
2) x%=215.43
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%=6826.27/215.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 215.43 is what percent of 6826.27

100%/x%=6826.27/215.43
(100/x)*x=(6826.27/215.43)*x       - we multiply both sides of the equation by x
100=31.686719584088*x       - we divide both sides of the equation by (31.686719584088) to get x
100/31.686719584088=x
3.1558962654568=x
x=3.1558962654568

now we have:
215.43 is 3.1558962654568% of 6826.27