2.93 is what percent of 40 - 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 40 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 40, so we can write it down as 100%=40.
4. We know, that x% equals 2.93 of the output value, so we can write it down as x%=2.93.
5. Now we have two simple equations:
1) 100%=40
2) x%=2.93
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%=40/2.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.93 is what percent of 40

100%/x%=40/2.93
(100/x)*x=(40/2.93)*x       - we multiply both sides of the equation by x
100=13.651877133106*x       - we divide both sides of the equation by (13.651877133106) to get x
100/13.651877133106=x
7.325=x
x=7.325

now we have:
2.93 is 7.325% of 40