4 is what percent of 45.72 - 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 45.72 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 45.72, so we can write it down as 100%=45.72.
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%=45.72
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%=45.72/4
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 45.72

100%/x%=45.72/4
(100/x)*x=(45.72/4)*x       - we multiply both sides of the equation by x
100=11.43*x       - we divide both sides of the equation by (11.43) to get x
100/11.43=x
8.7489063867017=x
x=8.7489063867017

now we have:
4 is 8.7489063867017% of 45.72