What is 13.46 percent of 47.63 - 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 47.63 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 47.63 is 100%, so we can write it down as 47.63=100%.
4. We know, that x is 13.46% of the output value, so we can write it down as x=13.46%.
5. Now we have two simple equations:
1) 47.63=100%
2) x=13.46%
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:
47.63/x=100%/13.46%
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 13.46% of 47.63

47.63/x=100/13.46
(47.63/x)*x=(100/13.46)*x       - we multiply both sides of the equation by x
47.63=7.4294205052006*x       - we divide both sides of the equation by (7.4294205052006) to get x
47.63/7.4294205052006=x
6.410998=x
x=6.410998

now we have:
13.46% of 47.63=6.410998