65 is what percent of 1531 - 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 1531 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 1531, so we can write it down as 100%=1531.
4. We know, that x% equals 65 of the output value, so we can write it down as x%=65.
5. Now we have two simple equations:
1) 100%=1531
2) x%=65
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%=1531/65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65 is what percent of 1531

100%/x%=1531/65
(100/x)*x=(1531/65)*x       - we multiply both sides of the equation by x
100=23.553846153846*x       - we divide both sides of the equation by (23.553846153846) to get x
100/23.553846153846=x
4.245591116917=x
x=4.245591116917

now we have:
65 is 4.245591116917% of 1531