91 is what percent of 729 - 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 729 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 729, so we can write it down as 100%=729.
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%=729
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%=729/91
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 729

100%/x%=729/91
(100/x)*x=(729/91)*x       - we multiply both sides of the equation by x
100=8.010989010989*x       - we divide both sides of the equation by (8.010989010989) to get x
100/8.010989010989=x
12.482853223594=x
x=12.482853223594

now we have:
91 is 12.482853223594% of 729