0.77 is what percent of 67.49 - 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 67.49 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 67.49, so we can write it down as 100%=67.49.
4. We know, that x% equals 0.77 of the output value, so we can write it down as x%=0.77.
5. Now we have two simple equations:
1) 100%=67.49
2) x%=0.77
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%=67.49/0.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.77 is what percent of 67.49

100%/x%=67.49/0.77
(100/x)*x=(67.49/0.77)*x       - we multiply both sides of the equation by x
100=87.649350649351*x       - we divide both sides of the equation by (87.649350649351) to get x
100/87.649350649351=x
1.1409097644095=x
x=1.1409097644095

now we have:
0.77 is 1.1409097644095% of 67.49