144.39 is what percent of 836.43 - 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 836.43 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 836.43, so we can write it down as 100%=836.43.
4. We know, that x% equals 144.39 of the output value, so we can write it down as x%=144.39.
5. Now we have two simple equations:
1) 100%=836.43
2) x%=144.39
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%=836.43/144.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 144.39 is what percent of 836.43

100%/x%=836.43/144.39
(100/x)*x=(836.43/144.39)*x       - we multiply both sides of the equation by x
100=5.7928526906295*x       - we divide both sides of the equation by (5.7928526906295) to get x
100/5.7928526906295=x
17.262651985223=x
x=17.262651985223

now we have:
144.39 is 17.262651985223% of 836.43