39.98 is what percent of 50.55 - 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 50.55 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 50.55, so we can write it down as 100%=50.55.
4. We know, that x% equals 39.98 of the output value, so we can write it down as x%=39.98.
5. Now we have two simple equations:
1) 100%=50.55
2) x%=39.98
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%=50.55/39.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.98 is what percent of 50.55

100%/x%=50.55/39.98
(100/x)*x=(50.55/39.98)*x       - we multiply both sides of the equation by x
100=1.2643821910955*x       - we divide both sides of the equation by (1.2643821910955) to get x
100/1.2643821910955=x
79.090009891197=x
x=79.090009891197

now we have:
39.98 is 79.090009891197% of 50.55