What is 15.72 percent of 157.2 - 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 157.2 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 157.2 is 100%, so we can write it down as 157.2=100%.
4. We know, that x is 15.72% of the output value, so we can write it down as x=15.72%.
5. Now we have two simple equations:
1) 157.2=100%
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:
157.2/x=100%/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 what is 15.72% of 157.2

157.2/x=100/15.72
(157.2/x)*x=(100/15.72)*x       - we multiply both sides of the equation by x
157.2=6.3613231552163*x       - we divide both sides of the equation by (6.3613231552163) to get x
157.2/6.3613231552163=x
24.71184=x
x=24.71184

now we have:
15.72% of 157.2=24.71184