657.98 is what percent of 9767 - 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 9767 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 9767, so we can write it down as 100%=9767.
4. We know, that x% equals 657.98 of the output value, so we can write it down as x%=657.98.
5. Now we have two simple equations:
1) 100%=9767
2) x%=657.98
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%=9767/657.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 657.98 is what percent of 9767

100%/x%=9767/657.98
(100/x)*x=(9767/657.98)*x       - we multiply both sides of the equation by x
100=14.843916228457*x       - we divide both sides of the equation by (14.843916228457) to get x
100/14.843916228457=x
6.7367666632538=x
x=6.7367666632538

now we have:
657.98 is 6.7367666632538% of 9767