46 is what percent of 2409 - 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 2409 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 2409, so we can write it down as 100%=2409.
4. We know, that x% equals 46 of the output value, so we can write it down as x%=46.
5. Now we have two simple equations:
1) 100%=2409
2) x%=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%=2409/46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46 is what percent of 2409

100%/x%=2409/46
(100/x)*x=(2409/46)*x       - we multiply both sides of the equation by x
100=52.369565217391*x       - we divide both sides of the equation by (52.369565217391) to get x
100/52.369565217391=x
1.9095060190951=x
x=1.9095060190951

now we have:
46 is 1.9095060190951% of 2409