What is 102 percent of 257 - 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 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 257 is 100%, so we can write it down as 257=100%.
4. We know, that x is 102% of the output value, so we can write it down as x=102%.
5. Now we have two simple equations:
1) 257=100%
2) x=102%
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:
257/x=100%/102%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 102% of 257

257/x=100/102
(257/x)*x=(100/102)*x       - we multiply both sides of the equation by x
257=0.98039215686275*x       - we divide both sides of the equation by (0.98039215686275) to get x
257/0.98039215686275=x
262.14=x
x=262.14

now we have:
102% of 257=262.14