What is 75.569 percent of 49.875 - 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 49.875 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 49.875 is 100%, so we can write it down as 49.875=100%.
4. We know, that x is 75.569% of the output value, so we can write it down as x=75.569%.
5. Now we have two simple equations:
1) 49.875=100%
2) x=75.569%
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:
49.875/x=100%/75.569%
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 75.569% of 49.875

49.875/x=100/75.569
(49.875/x)*x=(100/75.569)*x       - we multiply both sides of the equation by x
49.875=1.3232939432836*x       - we divide both sides of the equation by (1.3232939432836) to get x
49.875/1.3232939432836=x
37.69003875=x
x=37.69003875

now we have:
75.569% of 49.875=37.69003875