What is 2.2 percent of 457.6 - 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 457.6 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 457.6 is 100%, so we can write it down as 457.6=100%.
4. We know, that x is 2.2% of the output value, so we can write it down as x=2.2%.
5. Now we have two simple equations:
1) 457.6=100%
2) x=2.2%
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:
457.6/x=100%/2.2%
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 2.2% of 457.6

457.6/x=100/2.2
(457.6/x)*x=(100/2.2)*x       - we multiply both sides of the equation by x
457.6=45.454545454545*x       - we divide both sides of the equation by (45.454545454545) to get x
457.6/45.454545454545=x
10.0672=x
x=10.0672

now we have:
2.2% of 457.6=10.0672