76.98 is what percent of 269.97 - 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 269.97 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 269.97, so we can write it down as 100%=269.97.
4. We know, that x% equals 76.98 of the output value, so we can write it down as x%=76.98.
5. Now we have two simple equations:
1) 100%=269.97
2) x%=76.98
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%=269.97/76.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.98 is what percent of 269.97

100%/x%=269.97/76.98
(100/x)*x=(269.97/76.98)*x       - we multiply both sides of the equation by x
100=3.5070148090413*x       - we divide both sides of the equation by (3.5070148090413) to get x
100/3.5070148090413=x
28.514279364374=x
x=28.514279364374

now we have:
76.98 is 28.514279364374% of 269.97