92 is what percent of 689 - 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 689 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 689, so we can write it down as 100%=689.
4. We know, that x% equals 92 of the output value, so we can write it down as x%=92.
5. Now we have two simple equations:
1) 100%=689
2) x%=92
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%=689/92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 92 is what percent of 689

100%/x%=689/92
(100/x)*x=(689/92)*x       - we multiply both sides of the equation by x
100=7.4891304347826*x       - we divide both sides of the equation by (7.4891304347826) to get x
100/7.4891304347826=x
13.352685050798=x
x=13.352685050798

now we have:
92 is 13.352685050798% of 689