726.11 is what percent of 3730.46 - 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 3730.46 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 3730.46, so we can write it down as 100%=3730.46.
4. We know, that x% equals 726.11 of the output value, so we can write it down as x%=726.11.
5. Now we have two simple equations:
1) 100%=3730.46
2) x%=726.11
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%=3730.46/726.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 726.11 is what percent of 3730.46

100%/x%=3730.46/726.11
(100/x)*x=(3730.46/726.11)*x       - we multiply both sides of the equation by x
100=5.1375962319759*x       - we divide both sides of the equation by (5.1375962319759) to get x
100/5.1375962319759=x
19.464355602258=x
x=19.464355602258

now we have:
726.11 is 19.464355602258% of 3730.46