92 is what percent of 0.09 - 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 0.09 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 0.09, so we can write it down as 100%=0.09.
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%=0.09
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%=0.09/92
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 0.09

100%/x%=0.09/92
(100/x)*x=(0.09/92)*x       - we multiply both sides of the equation by x
100=0.00097826086956522*x       - we divide both sides of the equation by (0.00097826086956522) to get x
100/0.00097826086956522=x
102222.22222222=x
x=102222.22222222

now we have:
92 is 102222.22222222% of 0.09