1.09 is what percent of 6.09 - 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 6.09 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 6.09, so we can write it down as 100%=6.09.
4. We know, that x% equals 1.09 of the output value, so we can write it down as x%=1.09.
5. Now we have two simple equations:
1) 100%=6.09
2) x%=1.09
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%=6.09/1.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.09 is what percent of 6.09

100%/x%=6.09/1.09
(100/x)*x=(6.09/1.09)*x       - we multiply both sides of the equation by x
100=5.5871559633028*x       - we divide both sides of the equation by (5.5871559633028) to get x
100/5.5871559633028=x
17.898193760263=x
x=17.898193760263

now we have:
1.09 is 17.898193760263% of 6.09