65 is what percent of 2738 - 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 2738 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 2738, so we can write it down as 100%=2738.
4. We know, that x% equals 65 of the output value, so we can write it down as x%=65.
5. Now we have two simple equations:
1) 100%=2738
2) x%=65
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%=2738/65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65 is what percent of 2738

100%/x%=2738/65
(100/x)*x=(2738/65)*x       - we multiply both sides of the equation by x
100=42.123076923077*x       - we divide both sides of the equation by (42.123076923077) to get x
100/42.123076923077=x
2.3739956172389=x
x=2.3739956172389

now we have:
65 is 2.3739956172389% of 2738