375.75 is what percent of 1176.55 - 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 1176.55 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 1176.55, so we can write it down as 100%=1176.55.
4. We know, that x% equals 375.75 of the output value, so we can write it down as x%=375.75.
5. Now we have two simple equations:
1) 100%=1176.55
2) x%=375.75
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%=1176.55/375.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 375.75 is what percent of 1176.55

100%/x%=1176.55/375.75
(100/x)*x=(1176.55/375.75)*x       - we multiply both sides of the equation by x
100=3.1312042581504*x       - we divide both sides of the equation by (3.1312042581504) to get x
100/3.1312042581504=x
31.936594279886=x
x=31.936594279886

now we have:
375.75 is 31.936594279886% of 1176.55