0.45 is what 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 100% equals 9.6, so we can write it down as 100%=9.6.
4. We know, that x% equals 0.45 of the output value, so we can write it down as x%=0.45.
5. Now we have two simple equations:
1) 100%=9.6
2) x%=0.45
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%=9.6/0.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.45 is what percent of 9.6

100%/x%=9.6/0.45
(100/x)*x=(9.6/0.45)*x       - we multiply both sides of the equation by x
100=21.333333333333*x       - we divide both sides of the equation by (21.333333333333) to get x
100/21.333333333333=x
4.6875=x
x=4.6875

now we have:
0.45 is 4.6875% of 9.6