360.94 is what percent of 4333.34 - 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 4333.34 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 4333.34, so we can write it down as 100%=4333.34.
4. We know, that x% equals 360.94 of the output value, so we can write it down as x%=360.94.
5. Now we have two simple equations:
1) 100%=4333.34
2) x%=360.94
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%=4333.34/360.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 360.94 is what percent of 4333.34

100%/x%=4333.34/360.94
(100/x)*x=(4333.34/360.94)*x       - we multiply both sides of the equation by x
100=12.005707319776*x       - we divide both sides of the equation by (12.005707319776) to get x
100/12.005707319776=x
8.3293718009665=x
x=8.3293718009665

now we have:
360.94 is 8.3293718009665% of 4333.34