60 is what percent of 683 - 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 683 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 683, so we can write it down as 100%=683.
4. We know, that x% equals 60 of the output value, so we can write it down as x%=60.
5. Now we have two simple equations:
1) 100%=683
2) x%=60
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%=683/60
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 60 is what percent of 683

100%/x%=683/60
(100/x)*x=(683/60)*x       - we multiply both sides of the equation by x
100=11.383333333333*x       - we divide both sides of the equation by (11.383333333333) to get x
100/11.383333333333=x
8.7847730600293=x
x=8.7847730600293

now we have:
60 is 8.7847730600293% of 683