19.43 is what percent of 12.75 - 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 12.75 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 12.75, so we can write it down as 100%=12.75.
4. We know, that x% equals 19.43 of the output value, so we can write it down as x%=19.43.
5. Now we have two simple equations:
1) 100%=12.75
2) x%=19.43
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%=12.75/19.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.43 is what percent of 12.75

100%/x%=12.75/19.43
(100/x)*x=(12.75/19.43)*x       - we multiply both sides of the equation by x
100=0.65620174987133*x       - we divide both sides of the equation by (0.65620174987133) to get x
100/0.65620174987133=x
152.39215686275=x
x=152.39215686275

now we have:
19.43 is 152.39215686275% of 12.75