92 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 92 of the output value, so we can write it down as x%=92.
5. Now we have two simple equations:
1) 100%=729
2) x%=92
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%=729/92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 92 is what percent of 729

100%/x%=729/92
(100/x)*x=(729/92)*x       - we multiply both sides of the equation by x
100=7.9239130434783*x       - we divide both sides of the equation by (7.9239130434783) to get x
100/7.9239130434783=x
12.620027434842=x
x=12.620027434842

now we have:
92 is 12.620027434842% of 729