What is 1.35 percent of 40.9 - 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 40.9 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 40.9 is 100%, so we can write it down as 40.9=100%.
4. We know, that x is 1.35% of the output value, so we can write it down as x=1.35%.
5. Now we have two simple equations:
1) 40.9=100%
2) x=1.35%
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:
40.9/x=100%/1.35%
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 1.35% of 40.9

40.9/x=100/1.35
(40.9/x)*x=(100/1.35)*x       - we multiply both sides of the equation by x
40.9=74.074074074074*x       - we divide both sides of the equation by (74.074074074074) to get x
40.9/74.074074074074=x
0.55215=x
x=0.55215

now we have:
1.35% of 40.9=0.55215