7 is what percent of 9726 - 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 9726 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 9726, so we can write it down as 100%=9726.
4. We know, that x% equals 7 of the output value, so we can write it down as x%=7.
5. Now we have two simple equations:
1) 100%=9726
2) x%=7
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%=9726/7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7 is what percent of 9726

100%/x%=9726/7
(100/x)*x=(9726/7)*x       - we multiply both sides of the equation by x
100=1389.4285714286*x       - we divide both sides of the equation by (1389.4285714286) to get x
100/1389.4285714286=x
0.071972033724039=x
x=0.071972033724039

now we have:
7 is 0.071972033724039% of 9726