89 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 89 of the output value, so we can write it down as x%=89.
5. Now we have two simple equations:
1) 100%=689
2) x%=89
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%=689/89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 89 is what percent of 689

100%/x%=689/89
(100/x)*x=(689/89)*x       - we multiply both sides of the equation by x
100=7.7415730337079*x       - we divide both sides of the equation by (7.7415730337079) to get x
100/7.7415730337079=x
12.917271407837=x
x=12.917271407837

now we have:
89 is 12.917271407837% of 689