260.07 is what percent of 478 - 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 478 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 478, so we can write it down as 100%=478.
4. We know, that x% equals 260.07 of the output value, so we can write it down as x%=260.07.
5. Now we have two simple equations:
1) 100%=478
2) x%=260.07
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%=478/260.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 260.07 is what percent of 478

100%/x%=478/260.07
(100/x)*x=(478/260.07)*x       - we multiply both sides of the equation by x
100=1.8379667012727*x       - we divide both sides of the equation by (1.8379667012727) to get x
100/1.8379667012727=x
54.407949790795=x
x=54.407949790795

now we have:
260.07 is 54.407949790795% of 478