380.7 is what percent of 4661.7 - 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 4661.7 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 4661.7, so we can write it down as 100%=4661.7.
4. We know, that x% equals 380.7 of the output value, so we can write it down as x%=380.7.
5. Now we have two simple equations:
1) 100%=4661.7
2) x%=380.7
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%=4661.7/380.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 380.7 is what percent of 4661.7

100%/x%=4661.7/380.7
(100/x)*x=(4661.7/380.7)*x       - we multiply both sides of the equation by x
100=12.245074862096*x       - we divide both sides of the equation by (12.245074862096) to get x
100/12.245074862096=x
8.1665486839565=x
x=8.1665486839565

now we have:
380.7 is 8.1665486839565% of 4661.7