689.1 is what percent of 2331.3 - 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 2331.3 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 2331.3, so we can write it down as 100%=2331.3.
4. We know, that x% equals 689.1 of the output value, so we can write it down as x%=689.1.
5. Now we have two simple equations:
1) 100%=2331.3
2) x%=689.1
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%=2331.3/689.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 689.1 is what percent of 2331.3

100%/x%=2331.3/689.1
(100/x)*x=(2331.3/689.1)*x       - we multiply both sides of the equation by x
100=3.3831084022638*x       - we divide both sides of the equation by (3.3831084022638) to get x
100/3.3831084022638=x
29.558615364818=x
x=29.558615364818

now we have:
689.1 is 29.558615364818% of 2331.3