110.23 is what percent of 2359.58 - 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 2359.58 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 2359.58, so we can write it down as 100%=2359.58.
4. We know, that x% equals 110.23 of the output value, so we can write it down as x%=110.23.
5. Now we have two simple equations:
1) 100%=2359.58
2) x%=110.23
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%=2359.58/110.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 110.23 is what percent of 2359.58

100%/x%=2359.58/110.23
(100/x)*x=(2359.58/110.23)*x       - we multiply both sides of the equation by x
100=21.405969336841*x       - we divide both sides of the equation by (21.405969336841) to get x
100/21.405969336841=x
4.6715940972546=x
x=4.6715940972546

now we have:
110.23 is 4.6715940972546% of 2359.58