What is 32.7 percent of 45.9 - 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 45.9 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 45.9 is 100%, so we can write it down as 45.9=100%.
4. We know, that x is 32.7% of the output value, so we can write it down as x=32.7%.
5. Now we have two simple equations:
1) 45.9=100%
2) x=32.7%
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:
45.9/x=100%/32.7%
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 32.7% of 45.9

45.9/x=100/32.7
(45.9/x)*x=(100/32.7)*x       - we multiply both sides of the equation by x
45.9=3.0581039755352*x       - we divide both sides of the equation by (3.0581039755352) to get x
45.9/3.0581039755352=x
15.0093=x
x=15.0093

now we have:
32.7% of 45.9=15.0093