100.48 is what percent of 3014.4 - 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 3014.4 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 3014.4, so we can write it down as 100%=3014.4.
4. We know, that x% equals 100.48 of the output value, so we can write it down as x%=100.48.
5. Now we have two simple equations:
1) 100%=3014.4
2) x%=100.48
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%=3014.4/100.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 100.48 is what percent of 3014.4

100%/x%=3014.4/100.48
(100/x)*x=(3014.4/100.48)*x       - we multiply both sides of the equation by x
100=30*x       - we divide both sides of the equation by (30) to get x
100/30=x
3.3333333333333=x
x=3.3333333333333

now we have:
100.48 is 3.3333333333333% of 3014.4