56.96 is what percent of 3025.5 - 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 3025.5 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 3025.5, so we can write it down as 100%=3025.5.
4. We know, that x% equals 56.96 of the output value, so we can write it down as x%=56.96.
5. Now we have two simple equations:
1) 100%=3025.5
2) x%=56.96
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%=3025.5/56.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.96 is what percent of 3025.5

100%/x%=3025.5/56.96
(100/x)*x=(3025.5/56.96)*x       - we multiply both sides of the equation by x
100=53.116221910112*x       - we divide both sides of the equation by (53.116221910112) to get x
100/53.116221910112=x
1.8826640224756=x
x=1.8826640224756

now we have:
56.96 is 1.8826640224756% of 3025.5