322.85 is what percent of 380 - 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 380 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 380, so we can write it down as 100%=380.
4. We know, that x% equals 322.85 of the output value, so we can write it down as x%=322.85.
5. Now we have two simple equations:
1) 100%=380
2) x%=322.85
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%=380/322.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 322.85 is what percent of 380

100%/x%=380/322.85
(100/x)*x=(380/322.85)*x       - we multiply both sides of the equation by x
100=1.1770171906458*x       - we divide both sides of the equation by (1.1770171906458) to get x
100/1.1770171906458=x
84.960526315789=x
x=84.960526315789

now we have:
322.85 is 84.960526315789% of 380