67.77 is what percent of 996.6 - 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 996.6 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 996.6, so we can write it down as 100%=996.6.
4. We know, that x% equals 67.77 of the output value, so we can write it down as x%=67.77.
5. Now we have two simple equations:
1) 100%=996.6
2) x%=67.77
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%=996.6/67.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.77 is what percent of 996.6

100%/x%=996.6/67.77
(100/x)*x=(996.6/67.77)*x       - we multiply both sides of the equation by x
100=14.705621956618*x       - we divide both sides of the equation by (14.705621956618) to get x
100/14.705621956618=x
6.8001204093919=x
x=6.8001204093919

now we have:
67.77 is 6.8001204093919% of 996.6