What is 47.1 percent of 51.2 - 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 51.2 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 51.2 is 100%, so we can write it down as 51.2=100%.
4. We know, that x is 47.1% of the output value, so we can write it down as x=47.1%.
5. Now we have two simple equations:
1) 51.2=100%
2) x=47.1%
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:
51.2/x=100%/47.1%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 47.1% of 51.2

51.2/x=100/47.1
(51.2/x)*x=(100/47.1)*x       - we multiply both sides of the equation by x
51.2=2.1231422505308*x       - we divide both sides of the equation by (2.1231422505308) to get x
51.2/2.1231422505308=x
24.1152=x
x=24.1152

now we have:
47.1% of 51.2=24.1152