2707.5 is what percent of 968 - 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 968 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 968, so we can write it down as 100%=968.
4. We know, that x% equals 2707.5 of the output value, so we can write it down as x%=2707.5.
5. Now we have two simple equations:
1) 100%=968
2) x%=2707.5
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%=968/2707.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2707.5 is what percent of 968

100%/x%=968/2707.5
(100/x)*x=(968/2707.5)*x       - we multiply both sides of the equation by x
100=0.35752539242844*x       - we divide both sides of the equation by (0.35752539242844) to get x
100/0.35752539242844=x
279.70041322314=x
x=279.70041322314

now we have:
2707.5 is 279.70041322314% of 968