93.3 is what percent of 12 - 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 12 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 12, so we can write it down as 100%=12.
4. We know, that x% equals 93.3 of the output value, so we can write it down as x%=93.3.
5. Now we have two simple equations:
1) 100%=12
2) x%=93.3
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%=12/93.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 93.3 is what percent of 12

100%/x%=12/93.3
(100/x)*x=(12/93.3)*x       - we multiply both sides of the equation by x
100=0.12861736334405*x       - we divide both sides of the equation by (0.12861736334405) to get x
100/0.12861736334405=x
777.5=x
x=777.5

now we have:
93.3 is 777.5% of 12