What is 71.4 percent of 42 - 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 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 is 100%, so we can write it down as 42=100%.
4. We know, that x is 71.4% of the output value, so we can write it down as x=71.4%.
5. Now we have two simple equations:
1) 42=100%
2) x=71.4%
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/x=100%/71.4%
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 71.4% of 42

42/x=100/71.4
(42/x)*x=(100/71.4)*x       - we multiply both sides of the equation by x
42=1.4005602240896*x       - we divide both sides of the equation by (1.4005602240896) to get x
42/1.4005602240896=x
29.988=x
x=29.988

now we have:
71.4% of 42=29.988