144.81 is what percent of 876.99 - 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 876.99 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 876.99, so we can write it down as 100%=876.99.
4. We know, that x% equals 144.81 of the output value, so we can write it down as x%=144.81.
5. Now we have two simple equations:
1) 100%=876.99
2) x%=144.81
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%=876.99/144.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 144.81 is what percent of 876.99

100%/x%=876.99/144.81
(100/x)*x=(876.99/144.81)*x       - we multiply both sides of the equation by x
100=6.0561425315931*x       - we divide both sides of the equation by (6.0561425315931) to get x
100/6.0561425315931=x
16.512160914036=x
x=16.512160914036

now we have:
144.81 is 16.512160914036% of 876.99