110.37 is what percent of 1029.8 - 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 1029.8 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 1029.8, so we can write it down as 100%=1029.8.
4. We know, that x% equals 110.37 of the output value, so we can write it down as x%=110.37.
5. Now we have two simple equations:
1) 100%=1029.8
2) x%=110.37
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%=1029.8/110.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 110.37 is what percent of 1029.8

100%/x%=1029.8/110.37
(100/x)*x=(1029.8/110.37)*x       - we multiply both sides of the equation by x
100=9.3304339947449*x       - we divide both sides of the equation by (9.3304339947449) to get x
100/9.3304339947449=x
10.717615070888=x
x=10.717615070888

now we have:
110.37 is 10.717615070888% of 1029.8