437.84 is what percent of 2708.33 - 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 2708.33 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 2708.33, so we can write it down as 100%=2708.33.
4. We know, that x% equals 437.84 of the output value, so we can write it down as x%=437.84.
5. Now we have two simple equations:
1) 100%=2708.33
2) x%=437.84
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%=2708.33/437.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 437.84 is what percent of 2708.33

100%/x%=2708.33/437.84
(100/x)*x=(2708.33/437.84)*x       - we multiply both sides of the equation by x
100=6.1856614288325*x       - we divide both sides of the equation by (6.1856614288325) to get x
100/6.1856614288325=x
16.166419897132=x
x=16.166419897132

now we have:
437.84 is 16.166419897132% of 2708.33