91 is what percent of 6969 - 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 6969 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 6969, so we can write it down as 100%=6969.
4. We know, that x% equals 91 of the output value, so we can write it down as x%=91.
5. Now we have two simple equations:
1) 100%=6969
2) x%=91
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%=6969/91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 91 is what percent of 6969

100%/x%=6969/91
(100/x)*x=(6969/91)*x       - we multiply both sides of the equation by x
100=76.582417582418*x       - we divide both sides of the equation by (76.582417582418) to get x
100/76.582417582418=x
1.3057827521883=x
x=1.3057827521883

now we have:
91 is 1.3057827521883% of 6969