9.85 is what percent of 27.84 - 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 27.84 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 27.84, so we can write it down as 100%=27.84.
4. We know, that x% equals 9.85 of the output value, so we can write it down as x%=9.85.
5. Now we have two simple equations:
1) 100%=27.84
2) x%=9.85
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%=27.84/9.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.85 is what percent of 27.84

100%/x%=27.84/9.85
(100/x)*x=(27.84/9.85)*x       - we multiply both sides of the equation by x
100=2.8263959390863*x       - we divide both sides of the equation by (2.8263959390863) to get x
100/2.8263959390863=x
35.380747126437=x
x=35.380747126437

now we have:
9.85 is 35.380747126437% of 27.84