684.3 is what percent of 2163 - 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 2163 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 2163, so we can write it down as 100%=2163.
4. We know, that x% equals 684.3 of the output value, so we can write it down as x%=684.3.
5. Now we have two simple equations:
1) 100%=2163
2) x%=684.3
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%=2163/684.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 684.3 is what percent of 2163

100%/x%=2163/684.3
(100/x)*x=(2163/684.3)*x       - we multiply both sides of the equation by x
100=3.1608943445857*x       - we divide both sides of the equation by (3.1608943445857) to get x
100/3.1608943445857=x
31.636615811373=x
x=31.636615811373

now we have:
684.3 is 31.636615811373% of 2163