What is 30.02 percent of 50.05 - 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 50.05 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 50.05 is 100%, so we can write it down as 50.05=100%.
4. We know, that x is 30.02% of the output value, so we can write it down as x=30.02%.
5. Now we have two simple equations:
1) 50.05=100%
2) x=30.02%
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:
50.05/x=100%/30.02%
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 30.02% of 50.05

50.05/x=100/30.02
(50.05/x)*x=(100/30.02)*x       - we multiply both sides of the equation by x
50.05=3.3311125916056*x       - we divide both sides of the equation by (3.3311125916056) to get x
50.05/3.3311125916056=x
15.02501=x
x=15.02501

now we have:
30.02% of 50.05=15.02501