87 is what percent of 4741 - 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 4741 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 4741, so we can write it down as 100%=4741.
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%=4741
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%=4741/87
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 4741

100%/x%=4741/87
(100/x)*x=(4741/87)*x       - we multiply both sides of the equation by x
100=54.494252873563*x       - we divide both sides of the equation by (54.494252873563) to get x
100/54.494252873563=x
1.8350558953807=x
x=1.8350558953807

now we have:
87 is 1.8350558953807% of 4741