156.55 is what percent of 4884.5 - 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 4884.5 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 4884.5, so we can write it down as 100%=4884.5.
4. We know, that x% equals 156.55 of the output value, so we can write it down as x%=156.55.
5. Now we have two simple equations:
1) 100%=4884.5
2) x%=156.55
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%=4884.5/156.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 156.55 is what percent of 4884.5

100%/x%=4884.5/156.55
(100/x)*x=(4884.5/156.55)*x       - we multiply both sides of the equation by x
100=31.200894282977*x       - we divide both sides of the equation by (31.200894282977) to get x
100/31.200894282977=x
3.2050363394411=x
x=3.2050363394411

now we have:
156.55 is 3.2050363394411% of 4884.5