257.4 is what percent of 253.16 - 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 253.16 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 253.16, so we can write it down as 100%=253.16.
4. We know, that x% equals 257.4 of the output value, so we can write it down as x%=257.4.
5. Now we have two simple equations:
1) 100%=253.16
2) x%=257.4
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%=253.16/257.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 257.4 is what percent of 253.16

100%/x%=253.16/257.4
(100/x)*x=(253.16/257.4)*x       - we multiply both sides of the equation by x
100=0.98352758352758*x       - we divide both sides of the equation by (0.98352758352758) to get x
100/0.98352758352758=x
101.67483014694=x
x=101.67483014694

now we have:
257.4 is 101.67483014694% of 253.16