102.08 is what percent of 2041.67 - 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 2041.67 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 2041.67, so we can write it down as 100%=2041.67.
4. We know, that x% equals 102.08 of the output value, so we can write it down as x%=102.08.
5. Now we have two simple equations:
1) 100%=2041.67
2) x%=102.08
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%=2041.67/102.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.08 is what percent of 2041.67

100%/x%=2041.67/102.08
(100/x)*x=(2041.67/102.08)*x       - we multiply both sides of the equation by x
100=20.000685736677*x       - we divide both sides of the equation by (20.000685736677) to get x
100/20.000685736677=x
4.9998285717085=x
x=4.9998285717085

now we have:
102.08 is 4.9998285717085% of 2041.67