3.03 is what percent of 712.96 - 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 712.96 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 712.96, so we can write it down as 100%=712.96.
4. We know, that x% equals 3.03 of the output value, so we can write it down as x%=3.03.
5. Now we have two simple equations:
1) 100%=712.96
2) x%=3.03
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%=712.96/3.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.03 is what percent of 712.96

100%/x%=712.96/3.03
(100/x)*x=(712.96/3.03)*x       - we multiply both sides of the equation by x
100=235.300330033*x       - we divide both sides of the equation by (235.300330033) to get x
100/235.300330033=x
0.42498877917415=x
x=0.42498877917415

now we have:
3.03 is 0.42498877917415% of 712.96