110.29 is what percent of 2333.34 - 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 2333.34 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 2333.34, so we can write it down as 100%=2333.34.
4. We know, that x% equals 110.29 of the output value, so we can write it down as x%=110.29.
5. Now we have two simple equations:
1) 100%=2333.34
2) x%=110.29
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%=2333.34/110.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 110.29 is what percent of 2333.34

100%/x%=2333.34/110.29
(100/x)*x=(2333.34/110.29)*x       - we multiply both sides of the equation by x
100=21.156405839151*x       - we divide both sides of the equation by (21.156405839151) to get x
100/21.156405839151=x
4.7267007808549=x
x=4.7267007808549

now we have:
110.29 is 4.7267007808549% of 2333.34