What is 4.21 percent of 42.12 - 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 42.12 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 42.12 is 100%, so we can write it down as 42.12=100%.
4. We know, that x is 4.21% of the output value, so we can write it down as x=4.21%.
5. Now we have two simple equations:
1) 42.12=100%
2) x=4.21%
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:
42.12/x=100%/4.21%
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 4.21% of 42.12

42.12/x=100/4.21
(42.12/x)*x=(100/4.21)*x       - we multiply both sides of the equation by x
42.12=23.75296912114*x       - we divide both sides of the equation by (23.75296912114) to get x
42.12/23.75296912114=x
1.773252=x
x=1.773252

now we have:
4.21% of 42.12=1.773252