0.8 is what percent of 8851.06 - 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 8851.06 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 8851.06, so we can write it down as 100%=8851.06.
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%=8851.06
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%=8851.06/0.8
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 8851.06

100%/x%=8851.06/0.8
(100/x)*x=(8851.06/0.8)*x       - we multiply both sides of the equation by x
100=11063.825*x       - we divide both sides of the equation by (11063.825) to get x
100/11063.825=x
0.009038465449336=x
x=0.009038465449336

now we have:
0.8 is 0.009038465449336% of 8851.06