893.2 is what percent of 1001 - 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 1001 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 1001, so we can write it down as 100%=1001.
4. We know, that x% equals 893.2 of the output value, so we can write it down as x%=893.2.
5. Now we have two simple equations:
1) 100%=1001
2) x%=893.2
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%=1001/893.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 893.2 is what percent of 1001

100%/x%=1001/893.2
(100/x)*x=(1001/893.2)*x       - we multiply both sides of the equation by x
100=1.1206896551724*x       - we divide both sides of the equation by (1.1206896551724) to get x
100/1.1206896551724=x
89.230769230769=x
x=89.230769230769

now we have:
893.2 is 89.230769230769% of 1001