What is 41.99 percent of 1.022 - 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 1.022 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 1.022 is 100%, so we can write it down as 1.022=100%.
4. We know, that x is 41.99% of the output value, so we can write it down as x=41.99%.
5. Now we have two simple equations:
1) 1.022=100%
2) x=41.99%
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:
1.022/x=100%/41.99%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 41.99% of 1.022

1.022/x=100/41.99
(1.022/x)*x=(100/41.99)*x       - we multiply both sides of the equation by x
1.022=2.3815194093832*x       - we divide both sides of the equation by (2.3815194093832) to get x
1.022/2.3815194093832=x
0.4291378=x
x=0.4291378

now we have:
41.99% of 1.022=0.4291378