What is 37.46 percent of 15.99 - 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 15.99 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 15.99 is 100%, so we can write it down as 15.99=100%.
4. We know, that x is 37.46% of the output value, so we can write it down as x=37.46%.
5. Now we have two simple equations:
1) 15.99=100%
2) x=37.46%
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:
15.99/x=100%/37.46%
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 37.46% of 15.99

15.99/x=100/37.46
(15.99/x)*x=(100/37.46)*x       - we multiply both sides of the equation by x
15.99=2.669514148425*x       - we divide both sides of the equation by (2.669514148425) to get x
15.99/2.669514148425=x
5.989854=x
x=5.989854

now we have:
37.46% of 15.99=5.989854