3.84 is what percent of 35.84 - 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 35.84 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 35.84, so we can write it down as 100%=35.84.
4. We know, that x% equals 3.84 of the output value, so we can write it down as x%=3.84.
5. Now we have two simple equations:
1) 100%=35.84
2) x%=3.84
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%=35.84/3.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.84 is what percent of 35.84

100%/x%=35.84/3.84
(100/x)*x=(35.84/3.84)*x       - we multiply both sides of the equation by x
100=9.3333333333333*x       - we divide both sides of the equation by (9.3333333333333) to get x
100/9.3333333333333=x
10.714285714286=x
x=10.714285714286

now we have:
3.84 is 10.714285714286% of 35.84