What is 6.25 percent of 46.4 - 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 46.4 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 46.4 is 100%, so we can write it down as 46.4=100%.
4. We know, that x is 6.25% of the output value, so we can write it down as x=6.25%.
5. Now we have two simple equations:
1) 46.4=100%
2) x=6.25%
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:
46.4/x=100%/6.25%
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 6.25% of 46.4

46.4/x=100/6.25
(46.4/x)*x=(100/6.25)*x       - we multiply both sides of the equation by x
46.4=16*x       - we divide both sides of the equation by (16) to get x
46.4/16=x
2.9=x
x=2.9

now we have:
6.25% of 46.4=2.9