89 is what percent of 2637 - 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 2637 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 2637, so we can write it down as 100%=2637.
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%=2637
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%=2637/89
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 2637

100%/x%=2637/89
(100/x)*x=(2637/89)*x       - we multiply both sides of the equation by x
100=29.629213483146*x       - we divide both sides of the equation by (29.629213483146) to get x
100/29.629213483146=x
3.3750474023512=x
x=3.3750474023512

now we have:
89 is 3.3750474023512% of 2637