What is 170.625 percent of 9.6 - 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 9.6 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 9.6 is 100%, so we can write it down as 9.6=100%.
4. We know, that x is 170.625% of the output value, so we can write it down as x=170.625%.
5. Now we have two simple equations:
1) 9.6=100%
2) x=170.625%
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:
9.6/x=100%/170.625%
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 170.625% of 9.6

9.6/x=100/170.625
(9.6/x)*x=(100/170.625)*x       - we multiply both sides of the equation by x
9.6=0.58608058608059*x       - we divide both sides of the equation by (0.58608058608059) to get x
9.6/0.58608058608059=x
16.38=x
x=16.38

now we have:
170.625% of 9.6=16.38