0.5 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 0.5 of the output value, so we can write it down as x%=0.5.
5. Now we have two simple equations:
1) 100%=8.99
2) x%=0.5
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%=8.99/0.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.5 is what percent of 8.99

100%/x%=8.99/0.5
(100/x)*x=(8.99/0.5)*x       - we multiply both sides of the equation by x
100=17.98*x       - we divide both sides of the equation by (17.98) to get x
100/17.98=x
5.5617352614016=x
x=5.5617352614016

now we have:
0.5 is 5.5617352614016% of 8.99