360.97 is what percent of 3194.67 - 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 3194.67 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 3194.67, so we can write it down as 100%=3194.67.
4. We know, that x% equals 360.97 of the output value, so we can write it down as x%=360.97.
5. Now we have two simple equations:
1) 100%=3194.67
2) x%=360.97
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%=3194.67/360.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 360.97 is what percent of 3194.67

100%/x%=3194.67/360.97
(100/x)*x=(3194.67/360.97)*x       - we multiply both sides of the equation by x
100=8.8502368617891*x       - we divide both sides of the equation by (8.8502368617891) to get x
100/8.8502368617891=x
11.299132617766=x
x=11.299132617766

now we have:
360.97 is 11.299132617766% of 3194.67