380.57 is what percent of 11670.7 - 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 11670.7 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 11670.7, so we can write it down as 100%=11670.7.
4. We know, that x% equals 380.57 of the output value, so we can write it down as x%=380.57.
5. Now we have two simple equations:
1) 100%=11670.7
2) x%=380.57
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%=11670.7/380.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 380.57 is what percent of 11670.7

100%/x%=11670.7/380.57
(100/x)*x=(11670.7/380.57)*x       - we multiply both sides of the equation by x
100=30.666368867751*x       - we divide both sides of the equation by (30.666368867751) to get x
100/30.666368867751=x
3.2609012312886=x
x=3.2609012312886

now we have:
380.57 is 3.2609012312886% of 11670.7