54.85 is what percent of 1828.25 - 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 1828.25 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 1828.25, so we can write it down as 100%=1828.25.
4. We know, that x% equals 54.85 of the output value, so we can write it down as x%=54.85.
5. Now we have two simple equations:
1) 100%=1828.25
2) x%=54.85
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%=1828.25/54.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54.85 is what percent of 1828.25

100%/x%=1828.25/54.85
(100/x)*x=(1828.25/54.85)*x       - we multiply both sides of the equation by x
100=33.331814038286*x       - we divide both sides of the equation by (33.331814038286) to get x
100/33.331814038286=x
3.0001367427868=x
x=3.0001367427868

now we have:
54.85 is 3.0001367427868% of 1828.25