97.2 is what percent of 1179 - 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 1179 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 1179, so we can write it down as 100%=1179.
4. We know, that x% equals 97.2 of the output value, so we can write it down as x%=97.2.
5. Now we have two simple equations:
1) 100%=1179
2) x%=97.2
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%=1179/97.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.2 is what percent of 1179

100%/x%=1179/97.2
(100/x)*x=(1179/97.2)*x       - we multiply both sides of the equation by x
100=12.12962962963*x       - we divide both sides of the equation by (12.12962962963) to get x
100/12.12962962963=x
8.2442748091603=x
x=8.2442748091603

now we have:
97.2 is 8.2442748091603% of 1179