0.092 is what percent of 7 - 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 7 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 7, so we can write it down as 100%=7.
4. We know, that x% equals 0.092 of the output value, so we can write it down as x%=0.092.
5. Now we have two simple equations:
1) 100%=7
2) x%=0.092
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%=7/0.092
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.092 is what percent of 7

100%/x%=7/0.092
(100/x)*x=(7/0.092)*x       - we multiply both sides of the equation by x
100=76.086956521739*x       - we divide both sides of the equation by (76.086956521739) to get x
100/76.086956521739=x
1.3142857142857=x
x=1.3142857142857

now we have:
0.092 is 1.3142857142857% of 7