760.6 is what percent of 3060.5 - 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 3060.5 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 3060.5, so we can write it down as 100%=3060.5.
4. We know, that x% equals 760.6 of the output value, so we can write it down as x%=760.6.
5. Now we have two simple equations:
1) 100%=3060.5
2) x%=760.6
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%=3060.5/760.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 760.6 is what percent of 3060.5

100%/x%=3060.5/760.6
(100/x)*x=(3060.5/760.6)*x       - we multiply both sides of the equation by x
100=4.0237970023666*x       - we divide both sides of the equation by (4.0237970023666) to get x
100/4.0237970023666=x
24.852148341774=x
x=24.852148341774

now we have:
760.6 is 24.852148341774% of 3060.5