711.83 is what percent of 12150.72 - 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 12150.72 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 12150.72, so we can write it down as 100%=12150.72.
4. We know, that x% equals 711.83 of the output value, so we can write it down as x%=711.83.
5. Now we have two simple equations:
1) 100%=12150.72
2) x%=711.83
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%=12150.72/711.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 711.83 is what percent of 12150.72

100%/x%=12150.72/711.83
(100/x)*x=(12150.72/711.83)*x       - we multiply both sides of the equation by x
100=17.06969360662*x       - we divide both sides of the equation by (17.06969360662) to get x
100/17.06969360662=x
5.8583359669221=x
x=5.8583359669221

now we have:
711.83 is 5.8583359669221% of 12150.72