7.56 is what percent of 7.977 - 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 7.977 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 7.977, so we can write it down as 100%=7.977.
4. We know, that x% equals 7.56 of the output value, so we can write it down as x%=7.56.
5. Now we have two simple equations:
1) 100%=7.977
2) x%=7.56
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%=7.977/7.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.56 is what percent of 7.977

100%/x%=7.977/7.56
(100/x)*x=(7.977/7.56)*x       - we multiply both sides of the equation by x
100=1.0551587301587*x       - we divide both sides of the equation by (1.0551587301587) to get x
100/1.0551587301587=x
94.772470853704=x
x=94.772470853704

now we have:
7.56 is 94.772470853704% of 7.977