978.52 is what percent of 5978.52 - 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 5978.52 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 5978.52, so we can write it down as 100%=5978.52.
4. We know, that x% equals 978.52 of the output value, so we can write it down as x%=978.52.
5. Now we have two simple equations:
1) 100%=5978.52
2) x%=978.52
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%=5978.52/978.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 978.52 is what percent of 5978.52

100%/x%=5978.52/978.52
(100/x)*x=(5978.52/978.52)*x       - we multiply both sides of the equation by x
100=6.1097575930998*x       - we divide both sides of the equation by (6.1097575930998) to get x
100/6.1097575930998=x
16.367261462703=x
x=16.367261462703

now we have:
978.52 is 16.367261462703% of 5978.52