435.9 is what percent of 2740 - 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 2740 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 2740, so we can write it down as 100%=2740.
4. We know, that x% equals 435.9 of the output value, so we can write it down as x%=435.9.
5. Now we have two simple equations:
1) 100%=2740
2) x%=435.9
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%=2740/435.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 435.9 is what percent of 2740

100%/x%=2740/435.9
(100/x)*x=(2740/435.9)*x       - we multiply both sides of the equation by x
100=6.2858453773801*x       - we divide both sides of the equation by (6.2858453773801) to get x
100/6.2858453773801=x
15.908759124088=x
x=15.908759124088

now we have:
435.9 is 15.908759124088% of 2740