89 is what percent of 9459 - 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 9459 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 9459, so we can write it down as 100%=9459.
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%=9459
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%=9459/89
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 9459

100%/x%=9459/89
(100/x)*x=(9459/89)*x       - we multiply both sides of the equation by x
100=106.2808988764*x       - we divide both sides of the equation by (106.2808988764) to get x
100/106.2808988764=x
0.94090284385242=x
x=0.94090284385242

now we have:
89 is 0.94090284385242% of 9459