48.54 is what percent of 3461.54 - 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 3461.54 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 3461.54, so we can write it down as 100%=3461.54.
4. We know, that x% equals 48.54 of the output value, so we can write it down as x%=48.54.
5. Now we have two simple equations:
1) 100%=3461.54
2) x%=48.54
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%=3461.54/48.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.54 is what percent of 3461.54

100%/x%=3461.54/48.54
(100/x)*x=(3461.54/48.54)*x       - we multiply both sides of the equation by x
100=71.313143798929*x       - we divide both sides of the equation by (71.313143798929) to get x
100/71.313143798929=x
1.4022660434373=x
x=1.4022660434373

now we have:
48.54 is 1.4022660434373% of 3461.54