42.8 is what percent of 97.7 - 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 97.7 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 97.7, so we can write it down as 100%=97.7.
4. We know, that x% equals 42.8 of the output value, so we can write it down as x%=42.8.
5. Now we have two simple equations:
1) 100%=97.7
2) x%=42.8
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%=97.7/42.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.8 is what percent of 97.7

100%/x%=97.7/42.8
(100/x)*x=(97.7/42.8)*x       - we multiply both sides of the equation by x
100=2.2827102803738*x       - we divide both sides of the equation by (2.2827102803738) to get x
100/2.2827102803738=x
43.807574206755=x
x=43.807574206755

now we have:
42.8 is 43.807574206755% of 97.7