84 is what percent of 80.388 - 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 80.388 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 80.388, so we can write it down as 100%=80.388.
4. We know, that x% equals 84 of the output value, so we can write it down as x%=84.
5. Now we have two simple equations:
1) 100%=80.388
2) x%=84
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%=80.388/84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84 is what percent of 80.388

100%/x%=80.388/84
(100/x)*x=(80.388/84)*x       - we multiply both sides of the equation by x
100=0.957*x       - we divide both sides of the equation by (0.957) to get x
100/0.957=x
104.49320794148=x
x=104.49320794148

now we have:
84 is 104.49320794148% of 80.388