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

7. Solution for 5 is what percent of 5.05

100%/x%=5.05/5
(100/x)*x=(5.05/5)*x       - we multiply both sides of the equation by x
100=1.01*x       - we divide both sides of the equation by (1.01) to get x
100/1.01=x
99.009900990099=x
x=99.009900990099

now we have:
5 is 99.009900990099% of 5.05