What is 45.6 percent of 0.378 - 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 0.378 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 0.378 is 100%, so we can write it down as 0.378=100%.
4. We know, that x is 45.6% of the output value, so we can write it down as x=45.6%.
5. Now we have two simple equations:
1) 0.378=100%
2) x=45.6%
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:
0.378/x=100%/45.6%
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 45.6% of 0.378

0.378/x=100/45.6
(0.378/x)*x=(100/45.6)*x       - we multiply both sides of the equation by x
0.378=2.1929824561404*x       - we divide both sides of the equation by (2.1929824561404) to get x
0.378/2.1929824561404=x
0.172368=x
x=0.172368

now we have:
45.6% of 0.378=0.172368