40 is what percent of 487 - 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 487 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 487, so we can write it down as 100%=487.
4. We know, that x% equals 40 of the output value, so we can write it down as x%=40.
5. Now we have two simple equations:
1) 100%=487
2) x%=40
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%=487/40
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40 is what percent of 487

100%/x%=487/40
(100/x)*x=(487/40)*x       - we multiply both sides of the equation by x
100=12.175*x       - we divide both sides of the equation by (12.175) to get x
100/12.175=x
8.2135523613963=x
x=8.2135523613963

now we have:
40 is 8.2135523613963% of 487