897.48 is what percent of 1099.9 - 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 1099.9 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 1099.9, so we can write it down as 100%=1099.9.
4. We know, that x% equals 897.48 of the output value, so we can write it down as x%=897.48.
5. Now we have two simple equations:
1) 100%=1099.9
2) x%=897.48
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%=1099.9/897.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 897.48 is what percent of 1099.9

100%/x%=1099.9/897.48
(100/x)*x=(1099.9/897.48)*x       - we multiply both sides of the equation by x
100=1.2255426304764*x       - we divide both sides of the equation by (1.2255426304764) to get x
100/1.2255426304764=x
81.596508773525=x
x=81.596508773525

now we have:
897.48 is 81.596508773525% of 1099.9