468.22 is what percent of 626 - 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 626 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 626, so we can write it down as 100%=626.
4. We know, that x% equals 468.22 of the output value, so we can write it down as x%=468.22.
5. Now we have two simple equations:
1) 100%=626
2) x%=468.22
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%=626/468.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 468.22 is what percent of 626

100%/x%=626/468.22
(100/x)*x=(626/468.22)*x       - we multiply both sides of the equation by x
100=1.3369783435137*x       - we divide both sides of the equation by (1.3369783435137) to get x
100/1.3369783435137=x
74.79552715655=x
x=74.79552715655

now we have:
468.22 is 74.79552715655% of 626