27.43 is what percent of 41.6 - 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 41.6 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 41.6, so we can write it down as 100%=41.6.
4. We know, that x% equals 27.43 of the output value, so we can write it down as x%=27.43.
5. Now we have two simple equations:
1) 100%=41.6
2) x%=27.43
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%=41.6/27.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.43 is what percent of 41.6

100%/x%=41.6/27.43
(100/x)*x=(41.6/27.43)*x       - we multiply both sides of the equation by x
100=1.5165876777251*x       - we divide both sides of the equation by (1.5165876777251) to get x
100/1.5165876777251=x
65.9375=x
x=65.9375

now we have:
27.43 is 65.9375% of 41.6