0.8 is what percent of 1099.99 - 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 1099.99 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 1099.99, so we can write it down as 100%=1099.99.
4. We know, that x% equals 0.8 of the output value, so we can write it down as x%=0.8.
5. Now we have two simple equations:
1) 100%=1099.99
2) x%=0.8
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%=1099.99/0.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.8 is what percent of 1099.99

100%/x%=1099.99/0.8
(100/x)*x=(1099.99/0.8)*x       - we multiply both sides of the equation by x
100=1374.9875*x       - we divide both sides of the equation by (1374.9875) to get x
100/1374.9875=x
0.072727933890308=x
x=0.072727933890308

now we have:
0.8 is 0.072727933890308% of 1099.99