965.42 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 965.42 of the output value, so we can write it down as x%=965.42.
5. Now we have two simple equations:
1) 100%=1478
2) x%=965.42
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%=1478/965.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 965.42 is what percent of 1478

100%/x%=1478/965.42
(100/x)*x=(1478/965.42)*x       - we multiply both sides of the equation by x
100=1.5309399018044*x       - we divide both sides of the equation by (1.5309399018044) to get x
100/1.5309399018044=x
65.319350473613=x
x=65.319350473613

now we have:
965.42 is 65.319350473613% of 1478