6.77 is what percent of 9.83 - 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 9.83 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 9.83, so we can write it down as 100%=9.83.
4. We know, that x% equals 6.77 of the output value, so we can write it down as x%=6.77.
5. Now we have two simple equations:
1) 100%=9.83
2) x%=6.77
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%=9.83/6.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.77 is what percent of 9.83

100%/x%=9.83/6.77
(100/x)*x=(9.83/6.77)*x       - we multiply both sides of the equation by x
100=1.4519940915805*x       - we divide both sides of the equation by (1.4519940915805) to get x
100/1.4519940915805=x
68.870803662258=x
x=68.870803662258

now we have:
6.77 is 68.870803662258% of 9.83