467.22 is what percent of 798.66 - 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 798.66 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 798.66, so we can write it down as 100%=798.66.
4. We know, that x% equals 467.22 of the output value, so we can write it down as x%=467.22.
5. Now we have two simple equations:
1) 100%=798.66
2) x%=467.22
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%=798.66/467.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 467.22 is what percent of 798.66

100%/x%=798.66/467.22
(100/x)*x=(798.66/467.22)*x       - we multiply both sides of the equation by x
100=1.7093874406061*x       - we divide both sides of the equation by (1.7093874406061) to get x
100/1.7093874406061=x
58.500488317933=x
x=58.500488317933

now we have:
467.22 is 58.500488317933% of 798.66