41.43 is what percent of 63.56 - 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 63.56 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 63.56, so we can write it down as 100%=63.56.
4. We know, that x% equals 41.43 of the output value, so we can write it down as x%=41.43.
5. Now we have two simple equations:
1) 100%=63.56
2) x%=41.43
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%=63.56/41.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.43 is what percent of 63.56

100%/x%=63.56/41.43
(100/x)*x=(63.56/41.43)*x       - we multiply both sides of the equation by x
100=1.5341539946898*x       - we divide both sides of the equation by (1.5341539946898) to get x
100/1.5341539946898=x
65.18250471995=x
x=65.18250471995

now we have:
41.43 is 65.18250471995% of 63.56