9.94 is what percent of 49.8 - 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 49.8 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 49.8, so we can write it down as 100%=49.8.
4. We know, that x% equals 9.94 of the output value, so we can write it down as x%=9.94.
5. Now we have two simple equations:
1) 100%=49.8
2) x%=9.94
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%=49.8/9.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.94 is what percent of 49.8

100%/x%=49.8/9.94
(100/x)*x=(49.8/9.94)*x       - we multiply both sides of the equation by x
100=5.010060362173*x       - we divide both sides of the equation by (5.010060362173) to get x
100/5.010060362173=x
19.95983935743=x
x=19.95983935743

now we have:
9.94 is 19.95983935743% of 49.8