84 is what percent of 638 - 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 638 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 638, so we can write it down as 100%=638.
4. We know, that x% equals 84 of the output value, so we can write it down as x%=84.
5. Now we have two simple equations:
1) 100%=638
2) x%=84
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%=638/84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84 is what percent of 638

100%/x%=638/84
(100/x)*x=(638/84)*x       - we multiply both sides of the equation by x
100=7.5952380952381*x       - we divide both sides of the equation by (7.5952380952381) to get x
100/7.5952380952381=x
13.166144200627=x
x=13.166144200627

now we have:
84 is 13.166144200627% of 638