965.41 is what percent of 1000 - 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 1000 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 1000, so we can write it down as 100%=1000.
4. We know, that x% equals 965.41 of the output value, so we can write it down as x%=965.41.
5. Now we have two simple equations:
1) 100%=1000
2) x%=965.41
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%=1000/965.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 965.41 is what percent of 1000

100%/x%=1000/965.41
(100/x)*x=(1000/965.41)*x       - we multiply both sides of the equation by x
100=1.0358293367585*x       - we divide both sides of the equation by (1.0358293367585) to get x
100/1.0358293367585=x
96.541=x
x=96.541

now we have:
965.41 is 96.541% of 1000