260.7 is what percent of 1478 - 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 1478 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 1478, so we can write it down as 100%=1478.
4. We know, that x% equals 260.7 of the output value, so we can write it down as x%=260.7.
5. Now we have two simple equations:
1) 100%=1478
2) x%=260.7
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%=1478/260.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 260.7 is what percent of 1478

100%/x%=1478/260.7
(100/x)*x=(1478/260.7)*x       - we multiply both sides of the equation by x
100=5.6693517453011*x       - we divide both sides of the equation by (5.6693517453011) to get x
100/5.6693517453011=x
17.638700947226=x
x=17.638700947226

now we have:
260.7 is 17.638700947226% of 1478