49 is what percent of 9992 - 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 9992 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 9992, so we can write it down as 100%=9992.
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%=9992
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%=9992/49
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 9992

100%/x%=9992/49
(100/x)*x=(9992/49)*x       - we multiply both sides of the equation by x
100=203.91836734694*x       - we divide both sides of the equation by (203.91836734694) to get x
100/203.91836734694=x
0.49039231385108=x
x=0.49039231385108

now we have:
49 is 0.49039231385108% of 9992