6.8 is what percent of 38.556 - 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 38.556 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 38.556, so we can write it down as 100%=38.556.
4. We know, that x% equals 6.8 of the output value, so we can write it down as x%=6.8.
5. Now we have two simple equations:
1) 100%=38.556
2) x%=6.8
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%=38.556/6.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.8 is what percent of 38.556

100%/x%=38.556/6.8
(100/x)*x=(38.556/6.8)*x       - we multiply both sides of the equation by x
100=5.67*x       - we divide both sides of the equation by (5.67) to get x
100/5.67=x
17.636684303351=x
x=17.636684303351

now we have:
6.8 is 17.636684303351% of 38.556