4205.46 is what percent of 116724.92 - 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 116724.92 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 116724.92, so we can write it down as 100%=116724.92.
4. We know, that x% equals 4205.46 of the output value, so we can write it down as x%=4205.46.
5. Now we have two simple equations:
1) 100%=116724.92
2) x%=4205.46
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%=116724.92/4205.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4205.46 is what percent of 116724.92

100%/x%=116724.92/4205.46
(100/x)*x=(116724.92/4205.46)*x       - we multiply both sides of the equation by x
100=27.755565384048*x       - we divide both sides of the equation by (27.755565384048) to get x
100/27.755565384048=x
3.602881030032=x
x=3.602881030032

now we have:
4205.46 is 3.602881030032% of 116724.92