638.8 is what percent of 799.9 - 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 799.9 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 799.9, so we can write it down as 100%=799.9.
4. We know, that x% equals 638.8 of the output value, so we can write it down as x%=638.8.
5. Now we have two simple equations:
1) 100%=799.9
2) x%=638.8
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%=799.9/638.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 638.8 is what percent of 799.9

100%/x%=799.9/638.8
(100/x)*x=(799.9/638.8)*x       - we multiply both sides of the equation by x
100=1.2521916092674*x       - we divide both sides of the equation by (1.2521916092674) to get x
100/1.2521916092674=x
79.859982497812=x
x=79.859982497812

now we have:
638.8 is 79.859982497812% of 799.9