19.6 is what percent of 10.72 - 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 10.72 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 10.72, so we can write it down as 100%=10.72.
4. We know, that x% equals 19.6 of the output value, so we can write it down as x%=19.6.
5. Now we have two simple equations:
1) 100%=10.72
2) x%=19.6
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%=10.72/19.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.6 is what percent of 10.72

100%/x%=10.72/19.6
(100/x)*x=(10.72/19.6)*x       - we multiply both sides of the equation by x
100=0.5469387755102*x       - we divide both sides of the equation by (0.5469387755102) to get x
100/0.5469387755102=x
182.83582089552=x
x=182.83582089552

now we have:
19.6 is 182.83582089552% of 10.72