What is 46.12 percent of 240.42 - 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 240.42 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 240.42 is 100%, so we can write it down as 240.42=100%.
4. We know, that x is 46.12% of the output value, so we can write it down as x=46.12%.
5. Now we have two simple equations:
1) 240.42=100%
2) x=46.12%
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:
240.42/x=100%/46.12%
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 46.12% of 240.42

240.42/x=100/46.12
(240.42/x)*x=(100/46.12)*x       - we multiply both sides of the equation by x
240.42=2.1682567215958*x       - we divide both sides of the equation by (2.1682567215958) to get x
240.42/2.1682567215958=x
110.881704=x
x=110.881704

now we have:
46.12% of 240.42=110.881704