61.27 is what percent of 380.49 - 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 380.49 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 380.49, so we can write it down as 100%=380.49.
4. We know, that x% equals 61.27 of the output value, so we can write it down as x%=61.27.
5. Now we have two simple equations:
1) 100%=380.49
2) x%=61.27
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%=380.49/61.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 61.27 is what percent of 380.49

100%/x%=380.49/61.27
(100/x)*x=(380.49/61.27)*x       - we multiply both sides of the equation by x
100=6.2100538599641*x       - we divide both sides of the equation by (6.2100538599641) to get x
100/6.2100538599641=x
16.102919919052=x
x=16.102919919052

now we have:
61.27 is 16.102919919052% of 380.49