87 is what percent of 4788 - 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 4788 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 4788, so we can write it down as 100%=4788.
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%=4788
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%=4788/87
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 4788

100%/x%=4788/87
(100/x)*x=(4788/87)*x       - we multiply both sides of the equation by x
100=55.034482758621*x       - we divide both sides of the equation by (55.034482758621) to get x
100/55.034482758621=x
1.8170426065163=x
x=1.8170426065163

now we have:
87 is 1.8170426065163% of 4788