110.2 is what percent of 1019.05 - 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 1019.05 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 1019.05, so we can write it down as 100%=1019.05.
4. We know, that x% equals 110.2 of the output value, so we can write it down as x%=110.2.
5. Now we have two simple equations:
1) 100%=1019.05
2) x%=110.2
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%=1019.05/110.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 110.2 is what percent of 1019.05

100%/x%=1019.05/110.2
(100/x)*x=(1019.05/110.2)*x       - we multiply both sides of the equation by x
100=9.247277676951*x       - we divide both sides of the equation by (9.247277676951) to get x
100/9.247277676951=x
10.813993425249=x
x=10.813993425249

now we have:
110.2 is 10.813993425249% of 1019.05