257.77 is what percent of 389 - 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 389 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 389, so we can write it down as 100%=389.
4. We know, that x% equals 257.77 of the output value, so we can write it down as x%=257.77.
5. Now we have two simple equations:
1) 100%=389
2) x%=257.77
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%=389/257.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 257.77 is what percent of 389

100%/x%=389/257.77
(100/x)*x=(389/257.77)*x       - we multiply both sides of the equation by x
100=1.5090972572448*x       - we divide both sides of the equation by (1.5090972572448) to get x
100/1.5090972572448=x
66.264781491003=x
x=66.264781491003

now we have:
257.77 is 66.264781491003% of 389