96.86 is what percent of 343.86 - 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 343.86 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 343.86, so we can write it down as 100%=343.86.
4. We know, that x% equals 96.86 of the output value, so we can write it down as x%=96.86.
5. Now we have two simple equations:
1) 100%=343.86
2) x%=96.86
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%=343.86/96.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96.86 is what percent of 343.86

100%/x%=343.86/96.86
(100/x)*x=(343.86/96.86)*x       - we multiply both sides of the equation by x
100=3.5500722692546*x       - we divide both sides of the equation by (3.5500722692546) to get x
100/3.5500722692546=x
28.168440644448=x
x=28.168440644448

now we have:
96.86 is 28.168440644448% of 343.86