What is 34.7 percent of 42.8 - 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 42.8 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 42.8 is 100%, so we can write it down as 42.8=100%.
4. We know, that x is 34.7% of the output value, so we can write it down as x=34.7%.
5. Now we have two simple equations:
1) 42.8=100%
2) x=34.7%
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:
42.8/x=100%/34.7%
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 34.7% of 42.8

42.8/x=100/34.7
(42.8/x)*x=(100/34.7)*x       - we multiply both sides of the equation by x
42.8=2.8818443804035*x       - we divide both sides of the equation by (2.8818443804035) to get x
42.8/2.8818443804035=x
14.8516=x
x=14.8516

now we have:
34.7% of 42.8=14.8516