11.09 is what percent of 61.09 - 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 61.09 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 61.09, so we can write it down as 100%=61.09.
4. We know, that x% equals 11.09 of the output value, so we can write it down as x%=11.09.
5. Now we have two simple equations:
1) 100%=61.09
2) x%=11.09
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%=61.09/11.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.09 is what percent of 61.09

100%/x%=61.09/11.09
(100/x)*x=(61.09/11.09)*x       - we multiply both sides of the equation by x
100=5.5085662759243*x       - we divide both sides of the equation by (5.5085662759243) to get x
100/5.5085662759243=x
18.153543951547=x
x=18.153543951547

now we have:
11.09 is 18.153543951547% of 61.09