15.2 is what percent of 463.9 - 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 463.9 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 100% equals 463.9, so we can write it down as 100%=463.9.
4. We know, that x% equals 15.2 of the output value, so we can write it down as x%=15.2.
5. Now we have two simple equations:
1) 100%=463.9
2) x%=15.2
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:
100%/x%=463.9/15.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.2 is what percent of 463.9

100%/x%=463.9/15.2
(100/x)*x=(463.9/15.2)*x       - we multiply both sides of the equation by x
100=30.519736842105*x       - we divide both sides of the equation by (30.519736842105) to get x
100/30.519736842105=x
3.2765682259108=x
x=3.2765682259108

now we have:
15.2 is 3.2765682259108% of 463.9