6.8 is what percent of 59.4 - 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 59.4 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 59.4, so we can write it down as 100%=59.4.
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%=59.4
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%=59.4/6.8
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 59.4

100%/x%=59.4/6.8
(100/x)*x=(59.4/6.8)*x       - we multiply both sides of the equation by x
100=8.7352941176471*x       - we divide both sides of the equation by (8.7352941176471) to get x
100/8.7352941176471=x
11.447811447811=x
x=11.447811447811

now we have:
6.8 is 11.447811447811% of 59.4