What is 65.717 percent of 42.058 - 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 42.058 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 42.058 is 100%, so we can write it down as 42.058=100%.
4. We know, that x is 65.717% of the output value, so we can write it down as x=65.717%.
5. Now we have two simple equations:
1) 42.058=100%
2) x=65.717%
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:
42.058/x=100%/65.717%
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 65.717% of 42.058

42.058/x=100/65.717
(42.058/x)*x=(100/65.717)*x       - we multiply both sides of the equation by x
42.058=1.5216762785885*x       - we divide both sides of the equation by (1.5216762785885) to get x
42.058/1.5216762785885=x
27.63925586=x
x=27.63925586

now we have:
65.717% of 42.058=27.63925586