4 is what percent of 1567 - 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 1567 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 1567, so we can write it down as 100%=1567.
4. We know, that x% equals 4 of the output value, so we can write it down as x%=4.
5. Now we have two simple equations:
1) 100%=1567
2) x%=4
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%=1567/4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4 is what percent of 1567

100%/x%=1567/4
(100/x)*x=(1567/4)*x       - we multiply both sides of the equation by x
100=391.75*x       - we divide both sides of the equation by (391.75) to get x
100/391.75=x
0.25526483726867=x
x=0.25526483726867

now we have:
4 is 0.25526483726867% of 1567