478.85 is what percent of 1259 - 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 1259 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 1259, so we can write it down as 100%=1259.
4. We know, that x% equals 478.85 of the output value, so we can write it down as x%=478.85.
5. Now we have two simple equations:
1) 100%=1259
2) x%=478.85
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%=1259/478.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 478.85 is what percent of 1259

100%/x%=1259/478.85
(100/x)*x=(1259/478.85)*x       - we multiply both sides of the equation by x
100=2.6292158295917*x       - we divide both sides of the equation by (2.6292158295917) to get x
100/2.6292158295917=x
38.034154090548=x
x=38.034154090548

now we have:
478.85 is 38.034154090548% of 1259