What is 35.4 percent of 1.45 - 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 1.45 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 1.45 is 100%, so we can write it down as 1.45=100%.
4. We know, that x is 35.4% of the output value, so we can write it down as x=35.4%.
5. Now we have two simple equations:
1) 1.45=100%
2) x=35.4%
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:
1.45/x=100%/35.4%
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 35.4% of 1.45

1.45/x=100/35.4
(1.45/x)*x=(100/35.4)*x       - we multiply both sides of the equation by x
1.45=2.8248587570621*x       - we divide both sides of the equation by (2.8248587570621) to get x
1.45/2.8248587570621=x
0.5133=x
x=0.5133

now we have:
35.4% of 1.45=0.5133