712.96 is what percent of 3000.96 - 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 3000.96 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 3000.96, so we can write it down as 100%=3000.96.
4. We know, that x% equals 712.96 of the output value, so we can write it down as x%=712.96.
5. Now we have two simple equations:
1) 100%=3000.96
2) x%=712.96
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%=3000.96/712.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 712.96 is what percent of 3000.96

100%/x%=3000.96/712.96
(100/x)*x=(3000.96/712.96)*x       - we multiply both sides of the equation by x
100=4.2091561938959*x       - we divide both sides of the equation by (4.2091561938959) to get x
100/4.2091561938959=x
23.757730859458=x
x=23.757730859458

now we have:
712.96 is 23.757730859458% of 3000.96