6 is what percent of 57.8 - 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 57.8 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 57.8, so we can write it down as 100%=57.8.
4. We know, that x% equals 6 of the output value, so we can write it down as x%=6.
5. Now we have two simple equations:
1) 100%=57.8
2) x%=6
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%=57.8/6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6 is what percent of 57.8

100%/x%=57.8/6
(100/x)*x=(57.8/6)*x       - we multiply both sides of the equation by x
100=9.6333333333333*x       - we divide both sides of the equation by (9.6333333333333) to get x
100/9.6333333333333=x
10.38062283737=x
x=10.38062283737

now we have:
6 is 10.38062283737% of 57.8