What is 849.95 percent of 1099.95 - 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 1099.95 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 1099.95 is 100%, so we can write it down as 1099.95=100%.
4. We know, that x is 849.95% of the output value, so we can write it down as x=849.95%.
5. Now we have two simple equations:
1) 1099.95=100%
2) x=849.95%
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:
1099.95/x=100%/849.95%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 849.95% of 1099.95

1099.95/x=100/849.95
(1099.95/x)*x=(100/849.95)*x       - we multiply both sides of the equation by x
1099.95=0.11765397964586*x       - we divide both sides of the equation by (0.11765397964586) to get x
1099.95/0.11765397964586=x
9349.025025=x
x=9349.025025

now we have:
849.95% of 1099.95=9349.025025