49 is what percent of 116000 - 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 116000 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 116000, so we can write it down as 100%=116000.
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%=116000
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%=116000/49
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 116000

100%/x%=116000/49
(100/x)*x=(116000/49)*x       - we multiply both sides of the equation by x
100=2367.3469387755*x       - we divide both sides of the equation by (2367.3469387755) to get x
100/2367.3469387755=x
0.042241379310345=x
x=0.042241379310345

now we have:
49 is 0.042241379310345% of 116000