380.8 is what percent of 1177.3 - 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 1177.3 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 1177.3, so we can write it down as 100%=1177.3.
4. We know, that x% equals 380.8 of the output value, so we can write it down as x%=380.8.
5. Now we have two simple equations:
1) 100%=1177.3
2) x%=380.8
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%=1177.3/380.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 380.8 is what percent of 1177.3

100%/x%=1177.3/380.8
(100/x)*x=(1177.3/380.8)*x       - we multiply both sides of the equation by x
100=3.0916491596639*x       - we divide both sides of the equation by (3.0916491596639) to get x
100/3.0916491596639=x
32.345196636371=x
x=32.345196636371

now we have:
380.8 is 32.345196636371% of 1177.3