809.3 is what percent of 897 - 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 897 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 897, so we can write it down as 100%=897.
4. We know, that x% equals 809.3 of the output value, so we can write it down as x%=809.3.
5. Now we have two simple equations:
1) 100%=897
2) x%=809.3
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%=897/809.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 809.3 is what percent of 897

100%/x%=897/809.3
(100/x)*x=(897/809.3)*x       - we multiply both sides of the equation by x
100=1.1083652539231*x       - we divide both sides of the equation by (1.1083652539231) to get x
100/1.1083652539231=x
90.222965440357=x
x=90.222965440357

now we have:
809.3 is 90.222965440357% of 897