What is 50.05 percent of 147.5 - 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 147.5 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 147.5 is 100%, so we can write it down as 147.5=100%.
4. We know, that x is 50.05% of the output value, so we can write it down as x=50.05%.
5. Now we have two simple equations:
1) 147.5=100%
2) x=50.05%
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:
147.5/x=100%/50.05%
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 50.05% of 147.5

147.5/x=100/50.05
(147.5/x)*x=(100/50.05)*x       - we multiply both sides of the equation by x
147.5=1.998001998002*x       - we divide both sides of the equation by (1.998001998002) to get x
147.5/1.998001998002=x
73.82375=x
x=73.82375

now we have:
50.05% of 147.5=73.82375