755.14 is what percent of 9.976 - 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 9.976 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 9.976, so we can write it down as 100%=9.976.
4. We know, that x% equals 755.14 of the output value, so we can write it down as x%=755.14.
5. Now we have two simple equations:
1) 100%=9.976
2) x%=755.14
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%=9.976/755.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 755.14 is what percent of 9.976

100%/x%=9.976/755.14
(100/x)*x=(9.976/755.14)*x       - we multiply both sides of the equation by x
100=0.013210795349207*x       - we divide both sides of the equation by (0.013210795349207) to get x
100/0.013210795349207=x
7569.5669607057=x
x=7569.5669607057

now we have:
755.14 is 7569.5669607057% of 9.976