48.59 is what percent of 1155 - 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 1155 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 1155, so we can write it down as 100%=1155.
4. We know, that x% equals 48.59 of the output value, so we can write it down as x%=48.59.
5. Now we have two simple equations:
1) 100%=1155
2) x%=48.59
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%=1155/48.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.59 is what percent of 1155

100%/x%=1155/48.59
(100/x)*x=(1155/48.59)*x       - we multiply both sides of the equation by x
100=23.770323111751*x       - we divide both sides of the equation by (23.770323111751) to get x
100/23.770323111751=x
4.2069264069264=x
x=4.2069264069264

now we have:
48.59 is 4.2069264069264% of 1155