43.55 is what percent of 265.59 - 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 265.59 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 265.59, so we can write it down as 100%=265.59.
4. We know, that x% equals 43.55 of the output value, so we can write it down as x%=43.55.
5. Now we have two simple equations:
1) 100%=265.59
2) x%=43.55
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%=265.59/43.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.55 is what percent of 265.59

100%/x%=265.59/43.55
(100/x)*x=(265.59/43.55)*x       - we multiply both sides of the equation by x
100=6.0985074626866*x       - we divide both sides of the equation by (6.0985074626866) to get x
100/6.0985074626866=x
16.397454723446=x
x=16.397454723446

now we have:
43.55 is 16.397454723446% of 265.59