96.7 is what percent of 143.166 - 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 143.166 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 143.166, so we can write it down as 100%=143.166.
4. We know, that x% equals 96.7 of the output value, so we can write it down as x%=96.7.
5. Now we have two simple equations:
1) 100%=143.166
2) x%=96.7
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%=143.166/96.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96.7 is what percent of 143.166

100%/x%=143.166/96.7
(100/x)*x=(143.166/96.7)*x       - we multiply both sides of the equation by x
100=1.4805170630817*x       - we divide both sides of the equation by (1.4805170630817) to get x
100/1.4805170630817=x
67.543969936996=x
x=67.543969936996

now we have:
96.7 is 67.543969936996% of 143.166