1.05 is what percent of 55 - 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 55 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 55, so we can write it down as 100%=55.
4. We know, that x% equals 1.05 of the output value, so we can write it down as x%=1.05.
5. Now we have two simple equations:
1) 100%=55
2) x%=1.05
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%=55/1.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.05 is what percent of 55

100%/x%=55/1.05
(100/x)*x=(55/1.05)*x       - we multiply both sides of the equation by x
100=52.380952380952*x       - we divide both sides of the equation by (52.380952380952) to get x
100/52.380952380952=x
1.9090909090909=x
x=1.9090909090909

now we have:
1.05 is 1.9090909090909% of 55