2969.57 is what percent of 3073.5 - 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 3073.5 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 3073.5, so we can write it down as 100%=3073.5.
4. We know, that x% equals 2969.57 of the output value, so we can write it down as x%=2969.57.
5. Now we have two simple equations:
1) 100%=3073.5
2) x%=2969.57
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%=3073.5/2969.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2969.57 is what percent of 3073.5

100%/x%=3073.5/2969.57
(100/x)*x=(3073.5/2969.57)*x       - we multiply both sides of the equation by x
100=1.034998333092*x       - we divide both sides of the equation by (1.034998333092) to get x
100/1.034998333092=x
96.618513095819=x
x=96.618513095819

now we have:
2969.57 is 96.618513095819% of 3073.5