What is 2.1875 percent of 0.4375 - 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 0.4375 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 0.4375 is 100%, so we can write it down as 0.4375=100%.
4. We know, that x is 2.1875% of the output value, so we can write it down as x=2.1875%.
5. Now we have two simple equations:
1) 0.4375=100%
2) x=2.1875%
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:
0.4375/x=100%/2.1875%
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 2.1875% of 0.4375

0.4375/x=100/2.1875
(0.4375/x)*x=(100/2.1875)*x       - we multiply both sides of the equation by x
0.4375=45.714285714286*x       - we divide both sides of the equation by (45.714285714286) to get x
0.4375/45.714285714286=x
0.0095703125=x
x=0.0095703125

now we have:
2.1875% of 0.4375=0.0095703125