126.75 is what percent of 776.69 - 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 776.69 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 776.69, so we can write it down as 100%=776.69.
4. We know, that x% equals 126.75 of the output value, so we can write it down as x%=126.75.
5. Now we have two simple equations:
1) 100%=776.69
2) x%=126.75
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%=776.69/126.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 126.75 is what percent of 776.69

100%/x%=776.69/126.75
(100/x)*x=(776.69/126.75)*x       - we multiply both sides of the equation by x
100=6.1277317554241*x       - we divide both sides of the equation by (6.1277317554241) to get x
100/6.1277317554241=x
16.319252211307=x
x=16.319252211307

now we have:
126.75 is 16.319252211307% of 776.69