89 is what percent of 688.86 - 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 688.86 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 688.86, so we can write it down as 100%=688.86.
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%=688.86
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%=688.86/89
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 688.86

100%/x%=688.86/89
(100/x)*x=(688.86/89)*x       - we multiply both sides of the equation by x
100=7.74*x       - we divide both sides of the equation by (7.74) to get x
100/7.74=x
12.919896640827=x
x=12.919896640827

now we have:
89 is 12.919896640827% of 688.86