What is 7.405 percent of 42.15 - 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 42.15 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 42.15 is 100%, so we can write it down as 42.15=100%.
4. We know, that x is 7.405% of the output value, so we can write it down as x=7.405%.
5. Now we have two simple equations:
1) 42.15=100%
2) x=7.405%
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:
42.15/x=100%/7.405%
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 7.405% of 42.15

42.15/x=100/7.405
(42.15/x)*x=(100/7.405)*x       - we multiply both sides of the equation by x
42.15=13.504388926401*x       - we divide both sides of the equation by (13.504388926401) to get x
42.15/13.504388926401=x
3.1212075=x
x=3.1212075

now we have:
7.405% of 42.15=3.1212075