What is 17.84 percent of 9.66 - 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 9.66 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 9.66 is 100%, so we can write it down as 9.66=100%.
4. We know, that x is 17.84% of the output value, so we can write it down as x=17.84%.
5. Now we have two simple equations:
1) 9.66=100%
2) x=17.84%
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:
9.66/x=100%/17.84%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 17.84% of 9.66

9.66/x=100/17.84
(9.66/x)*x=(100/17.84)*x       - we multiply both sides of the equation by x
9.66=5.6053811659193*x       - we divide both sides of the equation by (5.6053811659193) to get x
9.66/5.6053811659193=x
1.723344=x
x=1.723344

now we have:
17.84% of 9.66=1.723344