89 is what percent of 3013 - 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 3013 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 3013, so we can write it down as 100%=3013.
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%=3013
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%=3013/89
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 3013

100%/x%=3013/89
(100/x)*x=(3013/89)*x       - we multiply both sides of the equation by x
100=33.85393258427*x       - we divide both sides of the equation by (33.85393258427) to get x
100/33.85393258427=x
2.9538665781613=x
x=2.9538665781613

now we have:
89 is 2.9538665781613% of 3013