47.48 is what percent of 4101.75 - 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 4101.75 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 4101.75, so we can write it down as 100%=4101.75.
4. We know, that x% equals 47.48 of the output value, so we can write it down as x%=47.48.
5. Now we have two simple equations:
1) 100%=4101.75
2) x%=47.48
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%=4101.75/47.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.48 is what percent of 4101.75

100%/x%=4101.75/47.48
(100/x)*x=(4101.75/47.48)*x       - we multiply both sides of the equation by x
100=86.38900589722*x       - we divide both sides of the equation by (86.38900589722) to get x
100/86.38900589722=x
1.1575547022612=x
x=1.1575547022612

now we have:
47.48 is 1.1575547022612% of 4101.75