1100.78 is what percent of 3481.93 - 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 3481.93 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 3481.93, so we can write it down as 100%=3481.93.
4. We know, that x% equals 1100.78 of the output value, so we can write it down as x%=1100.78.
5. Now we have two simple equations:
1) 100%=3481.93
2) x%=1100.78
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%=3481.93/1100.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1100.78 is what percent of 3481.93

100%/x%=3481.93/1100.78
(100/x)*x=(3481.93/1100.78)*x       - we multiply both sides of the equation by x
100=3.1631479496357*x       - we divide both sides of the equation by (3.1631479496357) to get x
100/3.1631479496357=x
31.614076101472=x
x=31.614076101472

now we have:
1100.78 is 31.614076101472% of 3481.93