49.97 is what percent of 799.55 - 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 799.55 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 799.55, so we can write it down as 100%=799.55.
4. We know, that x% equals 49.97 of the output value, so we can write it down as x%=49.97.
5. Now we have two simple equations:
1) 100%=799.55
2) x%=49.97
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%=799.55/49.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.97 is what percent of 799.55

100%/x%=799.55/49.97
(100/x)*x=(799.55/49.97)*x       - we multiply both sides of the equation by x
100=16.000600360216*x       - we divide both sides of the equation by (16.000600360216) to get x
100/16.000600360216=x
6.2497654930899=x
x=6.2497654930899

now we have:
49.97 is 6.2497654930899% of 799.55