8199.5 is what percent of 1.1 - 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 1.1 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 1.1, so we can write it down as 100%=1.1.
4. We know, that x% equals 8199.5 of the output value, so we can write it down as x%=8199.5.
5. Now we have two simple equations:
1) 100%=1.1
2) x%=8199.5
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%=1.1/8199.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8199.5 is what percent of 1.1

100%/x%=1.1/8199.5
(100/x)*x=(1.1/8199.5)*x       - we multiply both sides of the equation by x
100=0.00013415452161717*x       - we divide both sides of the equation by (0.00013415452161717) to get x
100/0.00013415452161717=x
745409.09090909=x
x=745409.09090909

now we have:
8199.5 is 745409.09090909% of 1.1