143.86 is what percent of 845.1 - 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 845.1 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 845.1, so we can write it down as 100%=845.1.
4. We know, that x% equals 143.86 of the output value, so we can write it down as x%=143.86.
5. Now we have two simple equations:
1) 100%=845.1
2) x%=143.86
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%=845.1/143.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 143.86 is what percent of 845.1

100%/x%=845.1/143.86
(100/x)*x=(845.1/143.86)*x       - we multiply both sides of the equation by x
100=5.8744612818018*x       - we divide both sides of the equation by (5.8744612818018) to get x
100/5.8744612818018=x
17.02283753402=x
x=17.02283753402

now we have:
143.86 is 17.02283753402% of 845.1