719.47 is what percent of 3162.5 - 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 3162.5 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 3162.5, so we can write it down as 100%=3162.5.
4. We know, that x% equals 719.47 of the output value, so we can write it down as x%=719.47.
5. Now we have two simple equations:
1) 100%=3162.5
2) x%=719.47
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%=3162.5/719.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 719.47 is what percent of 3162.5

100%/x%=3162.5/719.47
(100/x)*x=(3162.5/719.47)*x       - we multiply both sides of the equation by x
100=4.3955967587252*x       - we divide both sides of the equation by (4.3955967587252) to get x
100/4.3955967587252=x
22.750039525692=x
x=22.750039525692

now we have:
719.47 is 22.750039525692% of 3162.5