110.12 is what percent of 1598 - 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 1598 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 1598, so we can write it down as 100%=1598.
4. We know, that x% equals 110.12 of the output value, so we can write it down as x%=110.12.
5. Now we have two simple equations:
1) 100%=1598
2) x%=110.12
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%=1598/110.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 110.12 is what percent of 1598

100%/x%=1598/110.12
(100/x)*x=(1598/110.12)*x       - we multiply both sides of the equation by x
100=14.511442063204*x       - we divide both sides of the equation by (14.511442063204) to get x
100/14.511442063204=x
6.8911138923655=x
x=6.8911138923655

now we have:
110.12 is 6.8911138923655% of 1598