149.15 is what percent of 3104.88 - 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 3104.88 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 3104.88, so we can write it down as 100%=3104.88.
4. We know, that x% equals 149.15 of the output value, so we can write it down as x%=149.15.
5. Now we have two simple equations:
1) 100%=3104.88
2) x%=149.15
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%=3104.88/149.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 149.15 is what percent of 3104.88

100%/x%=3104.88/149.15
(100/x)*x=(3104.88/149.15)*x       - we multiply both sides of the equation by x
100=20.817163928931*x       - we divide both sides of the equation by (20.817163928931) to get x
100/20.817163928931=x
4.8037283244441=x
x=4.8037283244441

now we have:
149.15 is 4.8037283244441% of 3104.88