What is 10.6 percent of 42.4 - 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 42.4 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 42.4 is 100%, so we can write it down as 42.4=100%.
4. We know, that x is 10.6% of the output value, so we can write it down as x=10.6%.
5. Now we have two simple equations:
1) 42.4=100%
2) x=10.6%
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:
42.4/x=100%/10.6%
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 10.6% of 42.4

42.4/x=100/10.6
(42.4/x)*x=(100/10.6)*x       - we multiply both sides of the equation by x
42.4=9.4339622641509*x       - we divide both sides of the equation by (9.4339622641509) to get x
42.4/9.4339622641509=x
4.4944=x
x=4.4944

now we have:
10.6% of 42.4=4.4944