5.05 is what percent of 10 - 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 10 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 10, so we can write it down as 100%=10.
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%=10
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%=10/5.05
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 10

100%/x%=10/5.05
(100/x)*x=(10/5.05)*x       - we multiply both sides of the equation by x
100=1.980198019802*x       - we divide both sides of the equation by (1.980198019802) to get x
100/1.980198019802=x
50.5=x
x=50.5

now we have:
5.05 is 50.5% of 10