89 is what percent of 462 - 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 462 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 462, so we can write it down as 100%=462.
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%=462
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%=462/89
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 462

100%/x%=462/89
(100/x)*x=(462/89)*x       - we multiply both sides of the equation by x
100=5.1910112359551*x       - we divide both sides of the equation by (5.1910112359551) to get x
100/5.1910112359551=x
19.264069264069=x
x=19.264069264069

now we have:
89 is 19.264069264069% of 462