6.26 is what percent of 72.26 - 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 72.26 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 72.26, so we can write it down as 100%=72.26.
4. We know, that x% equals 6.26 of the output value, so we can write it down as x%=6.26.
5. Now we have two simple equations:
1) 100%=72.26
2) x%=6.26
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%=72.26/6.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.26 is what percent of 72.26

100%/x%=72.26/6.26
(100/x)*x=(72.26/6.26)*x       - we multiply both sides of the equation by x
100=11.543130990415*x       - we divide both sides of the equation by (11.543130990415) to get x
100/11.543130990415=x
8.6631608081926=x
x=8.6631608081926

now we have:
6.26 is 8.6631608081926% of 72.26