172.45 is what percent of 2409 - 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 2409 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 2409, so we can write it down as 100%=2409.
4. We know, that x% equals 172.45 of the output value, so we can write it down as x%=172.45.
5. Now we have two simple equations:
1) 100%=2409
2) x%=172.45
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%=2409/172.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 172.45 is what percent of 2409

100%/x%=2409/172.45
(100/x)*x=(2409/172.45)*x       - we multiply both sides of the equation by x
100=13.969266454045*x       - we divide both sides of the equation by (13.969266454045) to get x
100/13.969266454045=x
7.1585720215857=x
x=7.1585720215857

now we have:
172.45 is 7.1585720215857% of 2409