104.84 is what percent of 3141.67 - 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 3141.67 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 3141.67, so we can write it down as 100%=3141.67.
4. We know, that x% equals 104.84 of the output value, so we can write it down as x%=104.84.
5. Now we have two simple equations:
1) 100%=3141.67
2) x%=104.84
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%=3141.67/104.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 104.84 is what percent of 3141.67

100%/x%=3141.67/104.84
(100/x)*x=(3141.67/104.84)*x       - we multiply both sides of the equation by x
100=29.966329645174*x       - we divide both sides of the equation by (29.966329645174) to get x
100/29.966329645174=x
3.3370786874497=x
x=3.3370786874497

now we have:
104.84 is 3.3370786874497% of 3141.67