What is 46.323 percent of 42.526 - 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 42.526 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 42.526 is 100%, so we can write it down as 42.526=100%.
4. We know, that x is 46.323% of the output value, so we can write it down as x=46.323%.
5. Now we have two simple equations:
1) 42.526=100%
2) x=46.323%
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:
42.526/x=100%/46.323%
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 46.323% of 42.526

42.526/x=100/46.323
(42.526/x)*x=(100/46.323)*x       - we multiply both sides of the equation by x
42.526=2.1587548302139*x       - we divide both sides of the equation by (2.1587548302139) to get x
42.526/2.1587548302139=x
19.69931898=x
x=19.69931898

now we have:
46.323% of 42.526=19.69931898