43.96 is what percent of 270.35 - 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 270.35 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 270.35, so we can write it down as 100%=270.35.
4. We know, that x% equals 43.96 of the output value, so we can write it down as x%=43.96.
5. Now we have two simple equations:
1) 100%=270.35
2) x%=43.96
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%=270.35/43.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.96 is what percent of 270.35

100%/x%=270.35/43.96
(100/x)*x=(270.35/43.96)*x       - we multiply both sides of the equation by x
100=6.1499090081893*x       - we divide both sides of the equation by (6.1499090081893) to get x
100/6.1499090081893=x
16.260403181062=x
x=16.260403181062

now we have:
43.96 is 16.260403181062% of 270.35