328.88 is what percent of 2979 - 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 2979 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 2979, so we can write it down as 100%=2979.
4. We know, that x% equals 328.88 of the output value, so we can write it down as x%=328.88.
5. Now we have two simple equations:
1) 100%=2979
2) x%=328.88
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%=2979/328.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 328.88 is what percent of 2979

100%/x%=2979/328.88
(100/x)*x=(2979/328.88)*x       - we multiply both sides of the equation by x
100=9.0580150814887*x       - we divide both sides of the equation by (9.0580150814887) to get x
100/9.0580150814887=x
11.039946290702=x
x=11.039946290702

now we have:
328.88 is 11.039946290702% of 2979