4 is what percent of 9742 - 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 9742 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 9742, so we can write it down as 100%=9742.
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%=9742
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%=9742/4
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 9742

100%/x%=9742/4
(100/x)*x=(9742/4)*x       - we multiply both sides of the equation by x
100=2435.5*x       - we divide both sides of the equation by (2435.5) to get x
100/2435.5=x
0.041059330732909=x
x=0.041059330732909

now we have:
4 is 0.041059330732909% of 9742