1.04 is what percent of 1.09 - 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 1.09 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 1.09, so we can write it down as 100%=1.09.
4. We know, that x% equals 1.04 of the output value, so we can write it down as x%=1.04.
5. Now we have two simple equations:
1) 100%=1.09
2) x%=1.04
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%=1.09/1.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.04 is what percent of 1.09

100%/x%=1.09/1.04
(100/x)*x=(1.09/1.04)*x       - we multiply both sides of the equation by x
100=1.0480769230769*x       - we divide both sides of the equation by (1.0480769230769) to get x
100/1.0480769230769=x
95.412844036697=x
x=95.412844036697

now we have:
1.04 is 95.412844036697% of 1.09