What is 4.54545454545 percent of 297.2 - 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 297.2 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 297.2 is 100%, so we can write it down as 297.2=100%.
4. We know, that x is 4.54545454545% of the output value, so we can write it down as x=4.54545454545%.
5. Now we have two simple equations:
1) 297.2=100%
2) x=4.54545454545%
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:
297.2/x=100%/4.54545454545%
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 4.54545454545% of 297.2

297.2/x=100/4.54545454545
(297.2/x)*x=(100/4.54545454545)*x       - we multiply both sides of the equation by x
297.2=22.000000000022*x       - we divide both sides of the equation by (22.000000000022) to get x
297.2/22.000000000022=x
13.509090909077=x
x=13.509090909077

now we have:
4.54545454545% of 297.2=13.509090909077