What is 13.5 percent of 46.53 - 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 46.53 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 46.53 is 100%, so we can write it down as 46.53=100%.
4. We know, that x is 13.5% of the output value, so we can write it down as x=13.5%.
5. Now we have two simple equations:
1) 46.53=100%
2) x=13.5%
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:
46.53/x=100%/13.5%
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 13.5% of 46.53

46.53/x=100/13.5
(46.53/x)*x=(100/13.5)*x       - we multiply both sides of the equation by x
46.53=7.4074074074074*x       - we divide both sides of the equation by (7.4074074074074) to get x
46.53/7.4074074074074=x
6.28155=x
x=6.28155

now we have:
13.5% of 46.53=6.28155