19.05 is what percent of 110.05 - 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 110.05 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 110.05, so we can write it down as 100%=110.05.
4. We know, that x% equals 19.05 of the output value, so we can write it down as x%=19.05.
5. Now we have two simple equations:
1) 100%=110.05
2) x%=19.05
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%=110.05/19.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.05 is what percent of 110.05

100%/x%=110.05/19.05
(100/x)*x=(110.05/19.05)*x       - we multiply both sides of the equation by x
100=5.7769028871391*x       - we divide both sides of the equation by (5.7769028871391) to get x
100/5.7769028871391=x
17.310313493866=x
x=17.310313493866

now we have:
19.05 is 17.310313493866% of 110.05