What is 49.62 percent of 460 - 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 460 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 460 is 100%, so we can write it down as 460=100%.
4. We know, that x is 49.62% of the output value, so we can write it down as x=49.62%.
5. Now we have two simple equations:
1) 460=100%
2) x=49.62%
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:
460/x=100%/49.62%
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 49.62% of 460

460/x=100/49.62
(460/x)*x=(100/49.62)*x       - we multiply both sides of the equation by x
460=2.0153164046755*x       - we divide both sides of the equation by (2.0153164046755) to get x
460/2.0153164046755=x
228.252=x
x=228.252

now we have:
49.62% of 460=228.252