172.3 is what percent of 1129.49 - 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 1129.49 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 1129.49, so we can write it down as 100%=1129.49.
4. We know, that x% equals 172.3 of the output value, so we can write it down as x%=172.3.
5. Now we have two simple equations:
1) 100%=1129.49
2) x%=172.3
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%=1129.49/172.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 172.3 is what percent of 1129.49

100%/x%=1129.49/172.3
(100/x)*x=(1129.49/172.3)*x       - we multiply both sides of the equation by x
100=6.5553685432385*x       - we divide both sides of the equation by (6.5553685432385) to get x
100/6.5553685432385=x
15.254672462793=x
x=15.254672462793

now we have:
172.3 is 15.254672462793% of 1129.49