380.77 is what percent of 497.09 - 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 497.09 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 497.09, so we can write it down as 100%=497.09.
4. We know, that x% equals 380.77 of the output value, so we can write it down as x%=380.77.
5. Now we have two simple equations:
1) 100%=497.09
2) x%=380.77
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%=497.09/380.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 380.77 is what percent of 497.09

100%/x%=497.09/380.77
(100/x)*x=(497.09/380.77)*x       - we multiply both sides of the equation by x
100=1.3054862515429*x       - we divide both sides of the equation by (1.3054862515429) to get x
100/1.3054862515429=x
76.599810899435=x
x=76.599810899435

now we have:
380.77 is 76.599810899435% of 497.09