What is 0.68 percent of 37.5 - 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 37.5 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 37.5 is 100%, so we can write it down as 37.5=100%.
4. We know, that x is 0.68% of the output value, so we can write it down as x=0.68%.
5. Now we have two simple equations:
1) 37.5=100%
2) x=0.68%
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:
37.5/x=100%/0.68%
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 0.68% of 37.5

37.5/x=100/0.68
(37.5/x)*x=(100/0.68)*x       - we multiply both sides of the equation by x
37.5=147.05882352941*x       - we divide both sides of the equation by (147.05882352941) to get x
37.5/147.05882352941=x
0.255=x
x=0.255

now we have:
0.68% of 37.5=0.255