0.92 is what percent of 11.97 - 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 11.97 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 11.97, so we can write it down as 100%=11.97.
4. We know, that x% equals 0.92 of the output value, so we can write it down as x%=0.92.
5. Now we have two simple equations:
1) 100%=11.97
2) x%=0.92
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%=11.97/0.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.92 is what percent of 11.97

100%/x%=11.97/0.92
(100/x)*x=(11.97/0.92)*x       - we multiply both sides of the equation by x
100=13.010869565217*x       - we divide both sides of the equation by (13.010869565217) to get x
100/13.010869565217=x
7.6858813700919=x
x=7.6858813700919

now we have:
0.92 is 7.6858813700919% of 11.97