3.61 is what percent of 8.84 - 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 8.84 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 8.84, so we can write it down as 100%=8.84.
4. We know, that x% equals 3.61 of the output value, so we can write it down as x%=3.61.
5. Now we have two simple equations:
1) 100%=8.84
2) x%=3.61
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%=8.84/3.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.61 is what percent of 8.84

100%/x%=8.84/3.61
(100/x)*x=(8.84/3.61)*x       - we multiply both sides of the equation by x
100=2.4487534626039*x       - we divide both sides of the equation by (2.4487534626039) to get x
100/2.4487534626039=x
40.837104072398=x
x=40.837104072398

now we have:
3.61 is 40.837104072398% of 8.84