6 is what percent of 22.58 - 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 22.58 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 22.58, so we can write it down as 100%=22.58.
4. We know, that x% equals 6 of the output value, so we can write it down as x%=6.
5. Now we have two simple equations:
1) 100%=22.58
2) x%=6
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%=22.58/6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6 is what percent of 22.58

100%/x%=22.58/6
(100/x)*x=(22.58/6)*x       - we multiply both sides of the equation by x
100=3.7633333333333*x       - we divide both sides of the equation by (3.7633333333333) to get x
100/3.7633333333333=x
26.572187776794=x
x=26.572187776794

now we have:
6 is 26.572187776794% of 22.58