What is 21.45 percent of 466 - 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 466 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 466 is 100%, so we can write it down as 466=100%.
4. We know, that x is 21.45% of the output value, so we can write it down as x=21.45%.
5. Now we have two simple equations:
1) 466=100%
2) x=21.45%
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:
466/x=100%/21.45%
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 21.45% of 466

466/x=100/21.45
(466/x)*x=(100/21.45)*x       - we multiply both sides of the equation by x
466=4.6620046620047*x       - we divide both sides of the equation by (4.6620046620047) to get x
466/4.6620046620047=x
99.957=x
x=99.957

now we have:
21.45% of 466=99.957