0.41 is what percent of 105.45 - 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 105.45 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 105.45, so we can write it down as 100%=105.45.
4. We know, that x% equals 0.41 of the output value, so we can write it down as x%=0.41.
5. Now we have two simple equations:
1) 100%=105.45
2) x%=0.41
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%=105.45/0.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.41 is what percent of 105.45

100%/x%=105.45/0.41
(100/x)*x=(105.45/0.41)*x       - we multiply both sides of the equation by x
100=257.19512195122*x       - we divide both sides of the equation by (257.19512195122) to get x
100/257.19512195122=x
0.38880986249407=x
x=0.38880986249407

now we have:
0.41 is 0.38880986249407% of 105.45