865 is what percent of 965 - 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 965 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 965, so we can write it down as 100%=965.
4. We know, that x% equals 865 of the output value, so we can write it down as x%=865.
5. Now we have two simple equations:
1) 100%=965
2) x%=865
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%=965/865
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 865 is what percent of 965

100%/x%=965/865
(100/x)*x=(965/865)*x       - we multiply both sides of the equation by x
100=1.1156069364162*x       - we divide both sides of the equation by (1.1156069364162) to get x
100/1.1156069364162=x
89.637305699482=x
x=89.637305699482

now we have:
865 is 89.637305699482% of 965