246.4 is what percent of 247.6 - 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 247.6 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 247.6, so we can write it down as 100%=247.6.
4. We know, that x% equals 246.4 of the output value, so we can write it down as x%=246.4.
5. Now we have two simple equations:
1) 100%=247.6
2) x%=246.4
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%=247.6/246.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 246.4 is what percent of 247.6

100%/x%=247.6/246.4
(100/x)*x=(247.6/246.4)*x       - we multiply both sides of the equation by x
100=1.0048701298701*x       - we divide both sides of the equation by (1.0048701298701) to get x
100/1.0048701298701=x
99.51534733441=x
x=99.51534733441

now we have:
246.4 is 99.51534733441% of 247.6