What is 75.625 percent of 49.6 - 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 49.6 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 49.6 is 100%, so we can write it down as 49.6=100%.
4. We know, that x is 75.625% of the output value, so we can write it down as x=75.625%.
5. Now we have two simple equations:
1) 49.6=100%
2) x=75.625%
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:
49.6/x=100%/75.625%
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 75.625% of 49.6

49.6/x=100/75.625
(49.6/x)*x=(100/75.625)*x       - we multiply both sides of the equation by x
49.6=1.3223140495868*x       - we divide both sides of the equation by (1.3223140495868) to get x
49.6/1.3223140495868=x
37.51=x
x=37.51

now we have:
75.625% of 49.6=37.51