16.26 is what percent of 257.98 - 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 257.98 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 257.98, so we can write it down as 100%=257.98.
4. We know, that x% equals 16.26 of the output value, so we can write it down as x%=16.26.
5. Now we have two simple equations:
1) 100%=257.98
2) x%=16.26
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%=257.98/16.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.26 is what percent of 257.98

100%/x%=257.98/16.26
(100/x)*x=(257.98/16.26)*x       - we multiply both sides of the equation by x
100=15.865928659287*x       - we divide both sides of the equation by (15.865928659287) to get x
100/15.865928659287=x
6.3028141716412=x
x=6.3028141716412

now we have:
16.26 is 6.3028141716412% of 257.98