967.5 is what percent of 2717 - 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 2717 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 2717, so we can write it down as 100%=2717.
4. We know, that x% equals 967.5 of the output value, so we can write it down as x%=967.5.
5. Now we have two simple equations:
1) 100%=2717
2) x%=967.5
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%=2717/967.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 967.5 is what percent of 2717

100%/x%=2717/967.5
(100/x)*x=(2717/967.5)*x       - we multiply both sides of the equation by x
100=2.8082687338501*x       - we divide both sides of the equation by (2.8082687338501) to get x
100/2.8082687338501=x
35.609127714391=x
x=35.609127714391

now we have:
967.5 is 35.609127714391% of 2717