36.43 is what percent of 439.26 - 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 439.26 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 439.26, so we can write it down as 100%=439.26.
4. We know, that x% equals 36.43 of the output value, so we can write it down as x%=36.43.
5. Now we have two simple equations:
1) 100%=439.26
2) x%=36.43
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%=439.26/36.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.43 is what percent of 439.26

100%/x%=439.26/36.43
(100/x)*x=(439.26/36.43)*x       - we multiply both sides of the equation by x
100=12.057644798243*x       - we divide both sides of the equation by (12.057644798243) to get x
100/12.057644798243=x
8.2934936028776=x
x=8.2934936028776

now we have:
36.43 is 8.2934936028776% of 439.26