724.22 is what percent of 5138 - 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 5138 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 5138, so we can write it down as 100%=5138.
4. We know, that x% equals 724.22 of the output value, so we can write it down as x%=724.22.
5. Now we have two simple equations:
1) 100%=5138
2) x%=724.22
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%=5138/724.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 724.22 is what percent of 5138

100%/x%=5138/724.22
(100/x)*x=(5138/724.22)*x       - we multiply both sides of the equation by x
100=7.0945292866808*x       - we divide both sides of the equation by (7.0945292866808) to get x
100/7.0945292866808=x
14.095367847411=x
x=14.095367847411

now we have:
724.22 is 14.095367847411% of 5138