899.99 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 899.99 of the output value, so we can write it down as x%=899.99.
5. Now we have two simple equations:
1) 100%=1099.99
2) x%=899.99
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%=1099.99/899.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 899.99 is what percent of 1099.99

100%/x%=1099.99/899.99
(100/x)*x=(1099.99/899.99)*x       - we multiply both sides of the equation by x
100=1.2222246913855*x       - we divide both sides of the equation by (1.2222246913855) to get x
100/1.2222246913855=x
81.818016527423=x
x=81.818016527423

now we have:
899.99 is 81.818016527423% of 1099.99