189.47 is what percent of 4736.83 - 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 4736.83 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 4736.83, so we can write it down as 100%=4736.83.
4. We know, that x% equals 189.47 of the output value, so we can write it down as x%=189.47.
5. Now we have two simple equations:
1) 100%=4736.83
2) x%=189.47
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%=4736.83/189.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 189.47 is what percent of 4736.83

100%/x%=4736.83/189.47
(100/x)*x=(4736.83/189.47)*x       - we multiply both sides of the equation by x
100=25.000422230432*x       - we divide both sides of the equation by (25.000422230432) to get x
100/25.000422230432=x
3.9999324442718=x
x=3.9999324442718

now we have:
189.47 is 3.9999324442718% of 4736.83