76.75 is what percent of 2500 - 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 2500 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 2500, so we can write it down as 100%=2500.
4. We know, that x% equals 76.75 of the output value, so we can write it down as x%=76.75.
5. Now we have two simple equations:
1) 100%=2500
2) x%=76.75
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%=2500/76.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.75 is what percent of 2500

100%/x%=2500/76.75
(100/x)*x=(2500/76.75)*x       - we multiply both sides of the equation by x
100=32.57328990228*x       - we divide both sides of the equation by (32.57328990228) to get x
100/32.57328990228=x
3.07=x
x=3.07

now we have:
76.75 is 3.07% of 2500