What is 9.52380952381 percent of 4.7 - 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 4.7 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 4.7 is 100%, so we can write it down as 4.7=100%.
4. We know, that x is 9.52380952381% of the output value, so we can write it down as x=9.52380952381%.
5. Now we have two simple equations:
1) 4.7=100%
2) x=9.52380952381%
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:
4.7/x=100%/9.52380952381%
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 9.52380952381% of 4.7

4.7/x=100/9.52380952381
(4.7/x)*x=(100/9.52380952381)*x       - we multiply both sides of the equation by x
4.7=10.499999999999*x       - we divide both sides of the equation by (10.499999999999) to get x
4.7/10.499999999999=x
0.44761904761907=x
x=0.44761904761907

now we have:
9.52380952381% of 4.7=0.44761904761907