978.4 is what percent of 1204.5 - 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 1204.5 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 1204.5, so we can write it down as 100%=1204.5.
4. We know, that x% equals 978.4 of the output value, so we can write it down as x%=978.4.
5. Now we have two simple equations:
1) 100%=1204.5
2) x%=978.4
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%=1204.5/978.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 978.4 is what percent of 1204.5

100%/x%=1204.5/978.4
(100/x)*x=(1204.5/978.4)*x       - we multiply both sides of the equation by x
100=1.2310915780867*x       - we divide both sides of the equation by (1.2310915780867) to get x
100/1.2310915780867=x
81.228725612287=x
x=81.228725612287

now we have:
978.4 is 81.228725612287% of 1204.5