959.5 is what percent of 1041 - 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 1041 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 1041, so we can write it down as 100%=1041.
4. We know, that x% equals 959.5 of the output value, so we can write it down as x%=959.5.
5. Now we have two simple equations:
1) 100%=1041
2) x%=959.5
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%=1041/959.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 959.5 is what percent of 1041

100%/x%=1041/959.5
(100/x)*x=(1041/959.5)*x       - we multiply both sides of the equation by x
100=1.0849400729547*x       - we divide both sides of the equation by (1.0849400729547) to get x
100/1.0849400729547=x
92.170989433237=x
x=92.170989433237

now we have:
959.5 is 92.170989433237% of 1041