978.21 is what percent of 3495.11 - 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 3495.11 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 3495.11, so we can write it down as 100%=3495.11.
4. We know, that x% equals 978.21 of the output value, so we can write it down as x%=978.21.
5. Now we have two simple equations:
1) 100%=3495.11
2) x%=978.21
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%=3495.11/978.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 978.21 is what percent of 3495.11

100%/x%=3495.11/978.21
(100/x)*x=(3495.11/978.21)*x       - we multiply both sides of the equation by x
100=3.5729649052862*x       - we divide both sides of the equation by (3.5729649052862) to get x
100/3.5729649052862=x
27.987960321707=x
x=27.987960321707

now we have:
978.21 is 27.987960321707% of 3495.11