67.48 is what percent of 97.81 - 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 97.81 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 97.81, so we can write it down as 100%=97.81.
4. We know, that x% equals 67.48 of the output value, so we can write it down as x%=67.48.
5. Now we have two simple equations:
1) 100%=97.81
2) x%=67.48
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%=97.81/67.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.48 is what percent of 97.81

100%/x%=97.81/67.48
(100/x)*x=(97.81/67.48)*x       - we multiply both sides of the equation by x
100=1.4494665085951*x       - we divide both sides of the equation by (1.4494665085951) to get x
100/1.4494665085951=x
68.990900725897=x
x=68.990900725897

now we have:
67.48 is 68.990900725897% of 97.81