28.4 is what percent of 14.3 - 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 14.3 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 100% equals 14.3, so we can write it down as 100%=14.3.
4. We know, that x% equals 28.4 of the output value, so we can write it down as x%=28.4.
5. Now we have two simple equations:
1) 100%=14.3
2) x%=28.4
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:
100%/x%=14.3/28.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.4 is what percent of 14.3

100%/x%=14.3/28.4
(100/x)*x=(14.3/28.4)*x       - we multiply both sides of the equation by x
100=0.50352112676056*x       - we divide both sides of the equation by (0.50352112676056) to get x
100/0.50352112676056=x
198.6013986014=x
x=198.6013986014

now we have:
28.4 is 198.6013986014% of 14.3