67.98 is what percent of 77.98 - 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 77.98 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 77.98, so we can write it down as 100%=77.98.
4. We know, that x% equals 67.98 of the output value, so we can write it down as x%=67.98.
5. Now we have two simple equations:
1) 100%=77.98
2) x%=67.98
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%=77.98/67.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.98 is what percent of 77.98

100%/x%=77.98/67.98
(100/x)*x=(77.98/67.98)*x       - we multiply both sides of the equation by x
100=1.1471020888497*x       - we divide both sides of the equation by (1.1471020888497) to get x
100/1.1471020888497=x
87.176199025391=x
x=87.176199025391

now we have:
67.98 is 87.176199025391% of 77.98