110.25 is what percent of 2962.258 - 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 2962.258 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 2962.258, so we can write it down as 100%=2962.258.
4. We know, that x% equals 110.25 of the output value, so we can write it down as x%=110.25.
5. Now we have two simple equations:
1) 100%=2962.258
2) x%=110.25
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%=2962.258/110.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 110.25 is what percent of 2962.258

100%/x%=2962.258/110.25
(100/x)*x=(2962.258/110.25)*x       - we multiply both sides of the equation by x
100=26.868553287982*x       - we divide both sides of the equation by (26.868553287982) to get x
100/26.868553287982=x
3.7218230147408=x
x=3.7218230147408

now we have:
110.25 is 3.7218230147408% of 2962.258