We are asked to determine which number has a 40% equal to 22. Let's remember that when we want to obtain the x% of a number "n" we use the following relationship:
![n*(x)/(100)](https://img.qammunity.org/2023/formulas/mathematics/college/f0c7eojdh1ir8et6b2opoz0d1tqsaq45cf.png)
Now, we are given that this percentage must be equal to 22 and that the percentage is 40, therefore, we can substitute the following:
![n*(40)/(100)=22](https://img.qammunity.org/2023/formulas/mathematics/college/hl0mi08zg8ha1ov5vbeg8d227i4ev32suq.png)
Now we need to solve for "n". To do that we will multiply both sides by 100:
![n*40=22*100](https://img.qammunity.org/2023/formulas/mathematics/college/r3h2yhyh3y6fu18mux67tj7o60f03cxvpj.png)
Now, we divide both sides by 40:
![n=(22*100)/(40)](https://img.qammunity.org/2023/formulas/mathematics/college/pplnuhbou4s9xz778otl9jvavyqrpc64py.png)
Solving the operations:
![n=55](https://img.qammunity.org/2023/formulas/mathematics/college/lbg7p31x0n3uj89mxwewfodbobq8q709pg.png)
Therefore, the 40% of 55 is 22. The number we are looking for is 55.