1197.2 is what percent of 75 - 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 75 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 75, so we can write it down as 100%=75.
4. We know, that x% equals 1197.2 of the output value, so we can write it down as x%=1197.2.
5. Now we have two simple equations:
1) 100%=75
2) x%=1197.2
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%=75/1197.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1197.2 is what percent of 75

100%/x%=75/1197.2
(100/x)*x=(75/1197.2)*x       - we multiply both sides of the equation by x
100=0.06264617440695*x       - we divide both sides of the equation by (0.06264617440695) to get x
100/0.06264617440695=x
1596.2666666667=x
x=1596.2666666667

now we have:
1197.2 is 1596.2666666667% of 75