0.97 is what percent of 1.18 - 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 1.18 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 1.18, so we can write it down as 100%=1.18.
4. We know, that x% equals 0.97 of the output value, so we can write it down as x%=0.97.
5. Now we have two simple equations:
1) 100%=1.18
2) x%=0.97
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%=1.18/0.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.97 is what percent of 1.18

100%/x%=1.18/0.97
(100/x)*x=(1.18/0.97)*x       - we multiply both sides of the equation by x
100=1.2164948453608*x       - we divide both sides of the equation by (1.2164948453608) to get x
100/1.2164948453608=x
82.203389830508=x
x=82.203389830508

now we have:
0.97 is 82.203389830508% of 1.18