What is 0.375 percent of 2.3125 - 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 2.3125 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 2.3125 is 100%, so we can write it down as 2.3125=100%.
4. We know, that x is 0.375% of the output value, so we can write it down as x=0.375%.
5. Now we have two simple equations:
1) 2.3125=100%
2) x=0.375%
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:
2.3125/x=100%/0.375%
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 0.375% of 2.3125

2.3125/x=100/0.375
(2.3125/x)*x=(100/0.375)*x       - we multiply both sides of the equation by x
2.3125=266.66666666667*x       - we divide both sides of the equation by (266.66666666667) to get x
2.3125/266.66666666667=x
0.008671875=x
x=0.008671875

now we have:
0.375% of 2.3125=0.008671875