148.59 is what percent of 8825.68 - 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 8825.68 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 8825.68, so we can write it down as 100%=8825.68.
4. We know, that x% equals 148.59 of the output value, so we can write it down as x%=148.59.
5. Now we have two simple equations:
1) 100%=8825.68
2) x%=148.59
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%=8825.68/148.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 148.59 is what percent of 8825.68

100%/x%=8825.68/148.59
(100/x)*x=(8825.68/148.59)*x       - we multiply both sides of the equation by x
100=59.396190860758*x       - we divide both sides of the equation by (59.396190860758) to get x
100/59.396190860758=x
1.6836096482084=x
x=1.6836096482084

now we have:
148.59 is 1.6836096482084% of 8825.68