47.86 is what percent of 4750 - 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 4750 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 4750, so we can write it down as 100%=4750.
4. We know, that x% equals 47.86 of the output value, so we can write it down as x%=47.86.
5. Now we have two simple equations:
1) 100%=4750
2) x%=47.86
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%=4750/47.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.86 is what percent of 4750

100%/x%=4750/47.86
(100/x)*x=(4750/47.86)*x       - we multiply both sides of the equation by x
100=99.247806101128*x       - we divide both sides of the equation by (99.247806101128) to get x
100/99.247806101128=x
1.0075789473684=x
x=1.0075789473684

now we have:
47.86 is 1.0075789473684% of 4750