89 is what percent of 2460 - 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 2460 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 2460, so we can write it down as 100%=2460.
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%=2460
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%=2460/89
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 2460

100%/x%=2460/89
(100/x)*x=(2460/89)*x       - we multiply both sides of the equation by x
100=27.640449438202*x       - we divide both sides of the equation by (27.640449438202) to get x
100/27.640449438202=x
3.6178861788618=x
x=3.6178861788618

now we have:
89 is 3.6178861788618% of 2460