978.58 is what percent of 1006.25 - 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 1006.25 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 1006.25, so we can write it down as 100%=1006.25.
4. We know, that x% equals 978.58 of the output value, so we can write it down as x%=978.58.
5. Now we have two simple equations:
1) 100%=1006.25
2) x%=978.58
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%=1006.25/978.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 978.58 is what percent of 1006.25

100%/x%=1006.25/978.58
(100/x)*x=(1006.25/978.58)*x       - we multiply both sides of the equation by x
100=1.02827566474*x       - we divide both sides of the equation by (1.02827566474) to get x
100/1.02827566474=x
97.2501863354=x
x=97.2501863354

now we have:
978.58 is 97.2501863354% of 1006.25