2972.77 is what percent of 7301.04 - 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 7301.04 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 7301.04, so we can write it down as 100%=7301.04.
4. We know, that x% equals 2972.77 of the output value, so we can write it down as x%=2972.77.
5. Now we have two simple equations:
1) 100%=7301.04
2) x%=2972.77
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%=7301.04/2972.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2972.77 is what percent of 7301.04

100%/x%=7301.04/2972.77
(100/x)*x=(7301.04/2972.77)*x       - we multiply both sides of the equation by x
100=2.4559720395456*x       - we divide both sides of the equation by (2.4559720395456) to get x
100/2.4559720395456=x
40.71707592343=x
x=40.71707592343

now we have:
2972.77 is 40.71707592343% of 7301.04