What is 42.57 percent of 20.57 - 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 20.57 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 20.57 is 100%, so we can write it down as 20.57=100%.
4. We know, that x is 42.57% of the output value, so we can write it down as x=42.57%.
5. Now we have two simple equations:
1) 20.57=100%
2) x=42.57%
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:
20.57/x=100%/42.57%
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 42.57% of 20.57

20.57/x=100/42.57
(20.57/x)*x=(100/42.57)*x       - we multiply both sides of the equation by x
20.57=2.349072116514*x       - we divide both sides of the equation by (2.349072116514) to get x
20.57/2.349072116514=x
8.756649=x
x=8.756649

now we have:
42.57% of 20.57=8.756649