27.85 is what percent of 5723.54 - 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 5723.54 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 5723.54, so we can write it down as 100%=5723.54.
4. We know, that x% equals 27.85 of the output value, so we can write it down as x%=27.85.
5. Now we have two simple equations:
1) 100%=5723.54
2) x%=27.85
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%=5723.54/27.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.85 is what percent of 5723.54

100%/x%=5723.54/27.85
(100/x)*x=(5723.54/27.85)*x       - we multiply both sides of the equation by x
100=205.5131059246*x       - we divide both sides of the equation by (205.5131059246) to get x
100/205.5131059246=x
0.4865869723982=x
x=0.4865869723982

now we have:
27.85 is 0.4865869723982% of 5723.54