354.91 is what percent of 1020.29 - 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 1020.29 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 1020.29, so we can write it down as 100%=1020.29.
4. We know, that x% equals 354.91 of the output value, so we can write it down as x%=354.91.
5. Now we have two simple equations:
1) 100%=1020.29
2) x%=354.91
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%=1020.29/354.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 354.91 is what percent of 1020.29

100%/x%=1020.29/354.91
(100/x)*x=(1020.29/354.91)*x       - we multiply both sides of the equation by x
100=2.8747851568003*x       - we divide both sides of the equation by (2.8747851568003) to get x
100/2.8747851568003=x
34.785208127101=x
x=34.785208127101

now we have:
354.91 is 34.785208127101% of 1020.29