235.62 is what percent of 1256.63 - 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 1256.63 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 1256.63, so we can write it down as 100%=1256.63.
4. We know, that x% equals 235.62 of the output value, so we can write it down as x%=235.62.
5. Now we have two simple equations:
1) 100%=1256.63
2) x%=235.62
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%=1256.63/235.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 235.62 is what percent of 1256.63

100%/x%=1256.63/235.62
(100/x)*x=(1256.63/235.62)*x       - we multiply both sides of the equation by x
100=5.3332908921144*x       - we divide both sides of the equation by (5.3332908921144) to get x
100/5.3332908921144=x
18.750149208598=x
x=18.750149208598

now we have:
235.62 is 18.750149208598% of 1256.63