What is 49.4 percent of 52.4 - 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 52.4 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 52.4 is 100%, so we can write it down as 52.4=100%.
4. We know, that x is 49.4% of the output value, so we can write it down as x=49.4%.
5. Now we have two simple equations:
1) 52.4=100%
2) x=49.4%
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:
52.4/x=100%/49.4%
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 49.4% of 52.4

52.4/x=100/49.4
(52.4/x)*x=(100/49.4)*x       - we multiply both sides of the equation by x
52.4=2.0242914979757*x       - we divide both sides of the equation by (2.0242914979757) to get x
52.4/2.0242914979757=x
25.8856=x
x=25.8856

now we have:
49.4% of 52.4=25.8856