15.72 is what percent of 896.33 - 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 896.33 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 896.33, so we can write it down as 100%=896.33.
4. We know, that x% equals 15.72 of the output value, so we can write it down as x%=15.72.
5. Now we have two simple equations:
1) 100%=896.33
2) x%=15.72
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%=896.33/15.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.72 is what percent of 896.33

100%/x%=896.33/15.72
(100/x)*x=(896.33/15.72)*x       - we multiply both sides of the equation by x
100=57.01844783715*x       - we divide both sides of the equation by (57.01844783715) to get x
100/57.01844783715=x
1.753818348153=x
x=1.753818348153

now we have:
15.72 is 1.753818348153% of 896.33