What is 100.4 percent of 50.2 - 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 50.2 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 50.2 is 100%, so we can write it down as 50.2=100%.
4. We know, that x is 100.4% of the output value, so we can write it down as x=100.4%.
5. Now we have two simple equations:
1) 50.2=100%
2) x=100.4%
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:
50.2/x=100%/100.4%
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 100.4% of 50.2

50.2/x=100/100.4
(50.2/x)*x=(100/100.4)*x       - we multiply both sides of the equation by x
50.2=0.99601593625498*x       - we divide both sides of the equation by (0.99601593625498) to get x
50.2/0.99601593625498=x
50.4008=x
x=50.4008

now we have:
100.4% of 50.2=50.4008