47.1 is what percent of 144.3 - 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 144.3 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 144.3, so we can write it down as 100%=144.3.
4. We know, that x% equals 47.1 of the output value, so we can write it down as x%=47.1.
5. Now we have two simple equations:
1) 100%=144.3
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:
100%/x%=144.3/47.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.1 is what percent of 144.3

100%/x%=144.3/47.1
(100/x)*x=(144.3/47.1)*x       - we multiply both sides of the equation by x
100=3.0636942675159*x       - we divide both sides of the equation by (3.0636942675159) to get x
100/3.0636942675159=x
32.640332640333=x
x=32.640332640333

now we have:
47.1 is 32.640332640333% of 144.3