6.85 is what percent of 11.03 - 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 11.03 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 11.03, so we can write it down as 100%=11.03.
4. We know, that x% equals 6.85 of the output value, so we can write it down as x%=6.85.
5. Now we have two simple equations:
1) 100%=11.03
2) x%=6.85
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%=11.03/6.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.85 is what percent of 11.03

100%/x%=11.03/6.85
(100/x)*x=(11.03/6.85)*x       - we multiply both sides of the equation by x
100=1.6102189781022*x       - we divide both sides of the equation by (1.6102189781022) to get x
100/1.6102189781022=x
62.103354487761=x
x=62.103354487761

now we have:
6.85 is 62.103354487761% of 11.03