436.49 is what percent of 2118.95 - 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 2118.95 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 2118.95, so we can write it down as 100%=2118.95.
4. We know, that x% equals 436.49 of the output value, so we can write it down as x%=436.49.
5. Now we have two simple equations:
1) 100%=2118.95
2) x%=436.49
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%=2118.95/436.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 436.49 is what percent of 2118.95

100%/x%=2118.95/436.49
(100/x)*x=(2118.95/436.49)*x       - we multiply both sides of the equation by x
100=4.854521294875*x       - we divide both sides of the equation by (4.854521294875) to get x
100/4.854521294875=x
20.599353453361=x
x=20.599353453361

now we have:
436.49 is 20.599353453361% of 2118.95