68.88 is what percent of 71.84 - 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 71.84 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 71.84, so we can write it down as 100%=71.84.
4. We know, that x% equals 68.88 of the output value, so we can write it down as x%=68.88.
5. Now we have two simple equations:
1) 100%=71.84
2) x%=68.88
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%=71.84/68.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 68.88 is what percent of 71.84

100%/x%=71.84/68.88
(100/x)*x=(71.84/68.88)*x       - we multiply both sides of the equation by x
100=1.0429732868757*x       - we divide both sides of the equation by (1.0429732868757) to get x
100/1.0429732868757=x
95.879732739421=x
x=95.879732739421

now we have:
68.88 is 95.879732739421% of 71.84