17.5 is what percent of 1200 - 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 1200 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 1200, so we can write it down as 100%=1200.
4. We know, that x% equals 17.5 of the output value, so we can write it down as x%=17.5.
5. Now we have two simple equations:
1) 100%=1200
2) x%=17.5
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%=1200/17.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.5 is what percent of 1200

100%/x%=1200/17.5
(100/x)*x=(1200/17.5)*x       - we multiply both sides of the equation by x
100=68.571428571429*x       - we divide both sides of the equation by (68.571428571429) to get x
100/68.571428571429=x
1.4583333333333=x
x=1.4583333333333

now we have:
17.5 is 1.4583333333333% of 1200