What is 38.4615384615 percent of 52 - 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 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 is 100%, so we can write it down as 52=100%.
4. We know, that x is 38.4615384615% of the output value, so we can write it down as x=38.4615384615%.
5. Now we have two simple equations:
1) 52=100%
2) x=38.4615384615%
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/x=100%/38.4615384615%
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 38.4615384615% of 52

52/x=100/38.4615384615
(52/x)*x=(100/38.4615384615)*x       - we multiply both sides of the equation by x
52=2.6000000000026*x       - we divide both sides of the equation by (2.6000000000026) to get x
52/2.6000000000026=x
19.99999999998=x
x=19.99999999998

now we have:
38.4615384615% of 52=19.99999999998