307.8 is what percent of 376.5 - 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 376.5 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 376.5, so we can write it down as 100%=376.5.
4. We know, that x% equals 307.8 of the output value, so we can write it down as x%=307.8.
5. Now we have two simple equations:
1) 100%=376.5
2) x%=307.8
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%=376.5/307.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 307.8 is what percent of 376.5

100%/x%=376.5/307.8
(100/x)*x=(376.5/307.8)*x       - we multiply both sides of the equation by x
100=1.2231968810916*x       - we divide both sides of the equation by (1.2231968810916) to get x
100/1.2231968810916=x
81.752988047809=x
x=81.752988047809

now we have:
307.8 is 81.752988047809% of 376.5