What is 42.11 percent of 1016.5 - 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 1016.5 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 1016.5 is 100%, so we can write it down as 1016.5=100%.
4. We know, that x is 42.11% of the output value, so we can write it down as x=42.11%.
5. Now we have two simple equations:
1) 1016.5=100%
2) x=42.11%
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:
1016.5/x=100%/42.11%
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 42.11% of 1016.5

1016.5/x=100/42.11
(1016.5/x)*x=(100/42.11)*x       - we multiply both sides of the equation by x
1016.5=2.3747328425552*x       - we divide both sides of the equation by (2.3747328425552) to get x
1016.5/2.3747328425552=x
428.04815=x
x=428.04815

now we have:
42.11% of 1016.5=428.04815