611.5 is what percent of 6809.5 - 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 6809.5 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 6809.5, so we can write it down as 100%=6809.5.
4. We know, that x% equals 611.5 of the output value, so we can write it down as x%=611.5.
5. Now we have two simple equations:
1) 100%=6809.5
2) x%=611.5
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%=6809.5/611.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 611.5 is what percent of 6809.5

100%/x%=6809.5/611.5
(100/x)*x=(6809.5/611.5)*x       - we multiply both sides of the equation by x
100=11.135731807032*x       - we divide both sides of the equation by (11.135731807032) to get x
100/11.135731807032=x
8.9801013290256=x
x=8.9801013290256

now we have:
611.5 is 8.9801013290256% of 6809.5