40.56 is what percent of 127.94 - 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 127.94 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 127.94, so we can write it down as 100%=127.94.
4. We know, that x% equals 40.56 of the output value, so we can write it down as x%=40.56.
5. Now we have two simple equations:
1) 100%=127.94
2) x%=40.56
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%=127.94/40.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.56 is what percent of 127.94

100%/x%=127.94/40.56
(100/x)*x=(127.94/40.56)*x       - we multiply both sides of the equation by x
100=3.1543392504931*x       - we divide both sides of the equation by (3.1543392504931) to get x
100/3.1543392504931=x
31.702360481476=x
x=31.702360481476

now we have:
40.56 is 31.702360481476% of 127.94