175.08 is what percent of 1731.2 - 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 1731.2 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 1731.2, so we can write it down as 100%=1731.2.
4. We know, that x% equals 175.08 of the output value, so we can write it down as x%=175.08.
5. Now we have two simple equations:
1) 100%=1731.2
2) x%=175.08
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%=1731.2/175.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 175.08 is what percent of 1731.2

100%/x%=1731.2/175.08
(100/x)*x=(1731.2/175.08)*x       - we multiply both sides of the equation by x
100=9.888051176605*x       - we divide both sides of the equation by (9.888051176605) to get x
100/9.888051176605=x
10.113216266174=x
x=10.113216266174

now we have:
175.08 is 10.113216266174% of 1731.2