10.25 is what percent of 1257.6 - 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 1257.6 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 1257.6, so we can write it down as 100%=1257.6.
4. We know, that x% equals 10.25 of the output value, so we can write it down as x%=10.25.
5. Now we have two simple equations:
1) 100%=1257.6
2) x%=10.25
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%=1257.6/10.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.25 is what percent of 1257.6

100%/x%=1257.6/10.25
(100/x)*x=(1257.6/10.25)*x       - we multiply both sides of the equation by x
100=122.69268292683*x       - we divide both sides of the equation by (122.69268292683) to get x
100/122.69268292683=x
0.81504452926209=x
x=0.81504452926209

now we have:
10.25 is 0.81504452926209% of 1257.6