49 is what percent of 40409 - 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 40409 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 40409, so we can write it down as 100%=40409.
4. We know, that x% equals 49 of the output value, so we can write it down as x%=49.
5. Now we have two simple equations:
1) 100%=40409
2) x%=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%=40409/49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49 is what percent of 40409

100%/x%=40409/49
(100/x)*x=(40409/49)*x       - we multiply both sides of the equation by x
100=824.67346938776*x       - we divide both sides of the equation by (824.67346938776) to get x
100/824.67346938776=x
0.12126011532084=x
x=0.12126011532084

now we have:
49 is 0.12126011532084% of 40409