172.23 is what percent of 1566.23 - 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 1566.23 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 1566.23, so we can write it down as 100%=1566.23.
4. We know, that x% equals 172.23 of the output value, so we can write it down as x%=172.23.
5. Now we have two simple equations:
1) 100%=1566.23
2) x%=172.23
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%=1566.23/172.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 172.23 is what percent of 1566.23

100%/x%=1566.23/172.23
(100/x)*x=(1566.23/172.23)*x       - we multiply both sides of the equation by x
100=9.09382802067*x       - we divide both sides of the equation by (9.09382802067) to get x
100/9.09382802067=x
10.996469228657=x
x=10.996469228657

now we have:
172.23 is 10.996469228657% of 1566.23