49.8 is what percent of 425 - 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 425 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 425, so we can write it down as 100%=425.
4. We know, that x% equals 49.8 of the output value, so we can write it down as x%=49.8.
5. Now we have two simple equations:
1) 100%=425
2) x%=49.8
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%=425/49.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.8 is what percent of 425

100%/x%=425/49.8
(100/x)*x=(425/49.8)*x       - we multiply both sides of the equation by x
100=8.5341365461847*x       - we divide both sides of the equation by (8.5341365461847) to get x
100/8.5341365461847=x
11.717647058824=x
x=11.717647058824

now we have:
49.8 is 11.717647058824% of 425