9.2 is what percent of 42.8 - 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 42.8 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 42.8, so we can write it down as 100%=42.8.
4. We know, that x% equals 9.2 of the output value, so we can write it down as x%=9.2.
5. Now we have two simple equations:
1) 100%=42.8
2) x%=9.2
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:
100%/x%=42.8/9.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.2 is what percent of 42.8

100%/x%=42.8/9.2
(100/x)*x=(42.8/9.2)*x       - we multiply both sides of the equation by x
100=4.6521739130435*x       - we divide both sides of the equation by (4.6521739130435) to get x
100/4.6521739130435=x
21.495327102804=x
x=21.495327102804

now we have:
9.2 is 21.495327102804% of 42.8