What is 42.5 percent of 99.8 - 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 99.8 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 99.8 is 100%, so we can write it down as 99.8=100%.
4. We know, that x is 42.5% of the output value, so we can write it down as x=42.5%.
5. Now we have two simple equations:
1) 99.8=100%
2) x=42.5%
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:
99.8/x=100%/42.5%
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 42.5% of 99.8

99.8/x=100/42.5
(99.8/x)*x=(100/42.5)*x       - we multiply both sides of the equation by x
99.8=2.3529411764706*x       - we divide both sides of the equation by (2.3529411764706) to get x
99.8/2.3529411764706=x
42.415=x
x=42.415

now we have:
42.5% of 99.8=42.415