87 is what percent of 3784 - 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 3784 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 3784, so we can write it down as 100%=3784.
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%=3784
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%=3784/87
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 3784

100%/x%=3784/87
(100/x)*x=(3784/87)*x       - we multiply both sides of the equation by x
100=43.494252873563*x       - we divide both sides of the equation by (43.494252873563) to get x
100/43.494252873563=x
2.2991543340381=x
x=2.2991543340381

now we have:
87 is 2.2991543340381% of 3784