What is 4.7 percent of 0.517 - 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 0.517 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 0.517 is 100%, so we can write it down as 0.517=100%.
4. We know, that x is 4.7% of the output value, so we can write it down as x=4.7%.
5. Now we have two simple equations:
1) 0.517=100%
2) x=4.7%
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:
0.517/x=100%/4.7%
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 4.7% of 0.517

0.517/x=100/4.7
(0.517/x)*x=(100/4.7)*x       - we multiply both sides of the equation by x
0.517=21.276595744681*x       - we divide both sides of the equation by (21.276595744681) to get x
0.517/21.276595744681=x
0.024299=x
x=0.024299

now we have:
4.7% of 0.517=0.024299