172.12 is what percent of 450 - 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 450 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 450, so we can write it down as 100%=450.
4. We know, that x% equals 172.12 of the output value, so we can write it down as x%=172.12.
5. Now we have two simple equations:
1) 100%=450
2) x%=172.12
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%=450/172.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 172.12 is what percent of 450

100%/x%=450/172.12
(100/x)*x=(450/172.12)*x       - we multiply both sides of the equation by x
100=2.6144550313735*x       - we divide both sides of the equation by (2.6144550313735) to get x
100/2.6144550313735=x
38.248888888889=x
x=38.248888888889

now we have:
172.12 is 38.248888888889% of 450