645.2 is what percent of 808 - 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 808 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 808, so we can write it down as 100%=808.
4. We know, that x% equals 645.2 of the output value, so we can write it down as x%=645.2.
5. Now we have two simple equations:
1) 100%=808
2) x%=645.2
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%=808/645.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 645.2 is what percent of 808

100%/x%=808/645.2
(100/x)*x=(808/645.2)*x       - we multiply both sides of the equation by x
100=1.2523248605084*x       - we divide both sides of the equation by (1.2523248605084) to get x
100/1.2523248605084=x
79.851485148515=x
x=79.851485148515

now we have:
645.2 is 79.851485148515% of 808