5.05 is what percent of 105.05 - 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 105.05 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 105.05, so we can write it down as 100%=105.05.
4. We know, that x% equals 5.05 of the output value, so we can write it down as x%=5.05.
5. Now we have two simple equations:
1) 100%=105.05
2) x%=5.05
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%=105.05/5.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.05 is what percent of 105.05

100%/x%=105.05/5.05
(100/x)*x=(105.05/5.05)*x       - we multiply both sides of the equation by x
100=20.80198019802*x       - we divide both sides of the equation by (20.80198019802) to get x
100/20.80198019802=x
4.8072346501666=x
x=4.8072346501666

now we have:
5.05 is 4.8072346501666% of 105.05