18.92 is what percent of 53.75 - 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 53.75 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 53.75, so we can write it down as 100%=53.75.
4. We know, that x% equals 18.92 of the output value, so we can write it down as x%=18.92.
5. Now we have two simple equations:
1) 100%=53.75
2) x%=18.92
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%=53.75/18.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.92 is what percent of 53.75

100%/x%=53.75/18.92
(100/x)*x=(53.75/18.92)*x       - we multiply both sides of the equation by x
100=2.8409090909091*x       - we divide both sides of the equation by (2.8409090909091) to get x
100/2.8409090909091=x
35.2=x
x=35.2

now we have:
18.92 is 35.2% of 53.75