0.97 is what percent of 1.148 - 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 1.148 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 1.148, so we can write it down as 100%=1.148.
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%=1.148
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%=1.148/0.97
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 1.148

100%/x%=1.148/0.97
(100/x)*x=(1.148/0.97)*x       - we multiply both sides of the equation by x
100=1.1835051546392*x       - we divide both sides of the equation by (1.1835051546392) to get x
100/1.1835051546392=x
84.494773519164=x
x=84.494773519164

now we have:
0.97 is 84.494773519164% of 1.148