51.89 is what percent of 2496.71 - 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 2496.71 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 2496.71, so we can write it down as 100%=2496.71.
4. We know, that x% equals 51.89 of the output value, so we can write it down as x%=51.89.
5. Now we have two simple equations:
1) 100%=2496.71
2) x%=51.89
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%=2496.71/51.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.89 is what percent of 2496.71

100%/x%=2496.71/51.89
(100/x)*x=(2496.71/51.89)*x       - we multiply both sides of the equation by x
100=48.115436500289*x       - we divide both sides of the equation by (48.115436500289) to get x
100/48.115436500289=x
2.0783350889771=x
x=2.0783350889771

now we have:
51.89 is 2.0783350889771% of 2496.71