87 is what percent of 2409 - 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 2409 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 2409, so we can write it down as 100%=2409.
4. We know, that x% equals 87 of the output value, so we can write it down as x%=87.
5. Now we have two simple equations:
1) 100%=2409
2) x%=87
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%=2409/87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 87 is what percent of 2409

100%/x%=2409/87
(100/x)*x=(2409/87)*x       - we multiply both sides of the equation by x
100=27.689655172414*x       - we divide both sides of the equation by (27.689655172414) to get x
100/27.689655172414=x
3.6114570361146=x
x=3.6114570361146

now we have:
87 is 3.6114570361146% of 2409