4.75 is what percent of 53.85 - 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 53.85 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 53.85, so we can write it down as 100%=53.85.
4. We know, that x% equals 4.75 of the output value, so we can write it down as x%=4.75.
5. Now we have two simple equations:
1) 100%=53.85
2) x%=4.75
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%=53.85/4.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.75 is what percent of 53.85

100%/x%=53.85/4.75
(100/x)*x=(53.85/4.75)*x       - we multiply both sides of the equation by x
100=11.336842105263*x       - we divide both sides of the equation by (11.336842105263) to get x
100/11.336842105263=x
8.8207985143918=x
x=8.8207985143918

now we have:
4.75 is 8.8207985143918% of 53.85