42.8 is what percent of 35.3 - 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 35.3 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 35.3, so we can write it down as 100%=35.3.
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%=35.3
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%=35.3/42.8
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 35.3

100%/x%=35.3/42.8
(100/x)*x=(35.3/42.8)*x       - we multiply both sides of the equation by x
100=0.82476635514019*x       - we divide both sides of the equation by (0.82476635514019) to get x
100/0.82476635514019=x
121.24645892351=x
x=121.24645892351

now we have:
42.8 is 121.24645892351% of 35.3