380.5 is what percent of 218.66 - 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 218.66 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 218.66, so we can write it down as 100%=218.66.
4. We know, that x% equals 380.5 of the output value, so we can write it down as x%=380.5.
5. Now we have two simple equations:
1) 100%=218.66
2) x%=380.5
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%=218.66/380.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 380.5 is what percent of 218.66

100%/x%=218.66/380.5
(100/x)*x=(218.66/380.5)*x       - we multiply both sides of the equation by x
100=0.57466491458607*x       - we divide both sides of the equation by (0.57466491458607) to get x
100/0.57466491458607=x
174.01445166011=x
x=174.01445166011

now we have:
380.5 is 174.01445166011% of 218.66