15.2 is what percent of 105.8 - 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 105.8 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 105.8, so we can write it down as 100%=105.8.
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%=105.8
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%=105.8/15.2
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 105.8

100%/x%=105.8/15.2
(100/x)*x=(105.8/15.2)*x       - we multiply both sides of the equation by x
100=6.9605263157895*x       - we divide both sides of the equation by (6.9605263157895) to get x
100/6.9605263157895=x
14.366729678639=x
x=14.366729678639

now we have:
15.2 is 14.366729678639% of 105.8