9.84 is what percent of 6 - 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 6 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 6, so we can write it down as 100%=6.
4. We know, that x% equals 9.84 of the output value, so we can write it down as x%=9.84.
5. Now we have two simple equations:
1) 100%=6
2) x%=9.84
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%=6/9.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.84 is what percent of 6

100%/x%=6/9.84
(100/x)*x=(6/9.84)*x       - we multiply both sides of the equation by x
100=0.60975609756098*x       - we divide both sides of the equation by (0.60975609756098) to get x
100/0.60975609756098=x
164=x
x=164

now we have:
9.84 is 164% of 6