What is 37.48 percent of 6.25 - 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 6.25 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 6.25 is 100%, so we can write it down as 6.25=100%.
4. We know, that x is 37.48% of the output value, so we can write it down as x=37.48%.
5. Now we have two simple equations:
1) 6.25=100%
2) x=37.48%
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:
6.25/x=100%/37.48%
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 37.48% of 6.25

6.25/x=100/37.48
(6.25/x)*x=(100/37.48)*x       - we multiply both sides of the equation by x
6.25=2.6680896478122*x       - we divide both sides of the equation by (2.6680896478122) to get x
6.25/2.6680896478122=x
2.3425=x
x=2.3425

now we have:
37.48% of 6.25=2.3425