0.16 is what percent of 8.99 - 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 8.99 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 8.99, so we can write it down as 100%=8.99.
4. We know, that x% equals 0.16 of the output value, so we can write it down as x%=0.16.
5. Now we have two simple equations:
1) 100%=8.99
2) x%=0.16
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%=8.99/0.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.16 is what percent of 8.99

100%/x%=8.99/0.16
(100/x)*x=(8.99/0.16)*x       - we multiply both sides of the equation by x
100=56.1875*x       - we divide both sides of the equation by (56.1875) to get x
100/56.1875=x
1.7797552836485=x
x=1.7797552836485

now we have:
0.16 is 1.7797552836485% of 8.99