328.77 is what percent of 343.77 - 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 343.77 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 343.77, so we can write it down as 100%=343.77.
4. We know, that x% equals 328.77 of the output value, so we can write it down as x%=328.77.
5. Now we have two simple equations:
1) 100%=343.77
2) x%=328.77
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%=343.77/328.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 328.77 is what percent of 343.77

100%/x%=343.77/328.77
(100/x)*x=(343.77/328.77)*x       - we multiply both sides of the equation by x
100=1.0456246007847*x       - we divide both sides of the equation by (1.0456246007847) to get x
100/1.0456246007847=x
95.636617505891=x
x=95.636617505891

now we have:
328.77 is 95.636617505891% of 343.77