96.1 is what percent of 143.43 - 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 143.43 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 143.43, so we can write it down as 100%=143.43.
4. We know, that x% equals 96.1 of the output value, so we can write it down as x%=96.1.
5. Now we have two simple equations:
1) 100%=143.43
2) x%=96.1
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%=143.43/96.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96.1 is what percent of 143.43

100%/x%=143.43/96.1
(100/x)*x=(143.43/96.1)*x       - we multiply both sides of the equation by x
100=1.4925078043704*x       - we divide both sides of the equation by (1.4925078043704) to get x
100/1.4925078043704=x
67.001324688001=x
x=67.001324688001

now we have:
96.1 is 67.001324688001% of 143.43