47.76 is what percent of 1748.1 - 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 1748.1 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 1748.1, so we can write it down as 100%=1748.1.
4. We know, that x% equals 47.76 of the output value, so we can write it down as x%=47.76.
5. Now we have two simple equations:
1) 100%=1748.1
2) x%=47.76
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%=1748.1/47.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.76 is what percent of 1748.1

100%/x%=1748.1/47.76
(100/x)*x=(1748.1/47.76)*x       - we multiply both sides of the equation by x
100=36.60175879397*x       - we divide both sides of the equation by (36.60175879397) to get x
100/36.60175879397=x
2.732109147074=x
x=2.732109147074

now we have:
47.76 is 2.732109147074% of 1748.1