478 is what percent of 7 - 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 7 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 7, so we can write it down as 100%=7.
4. We know, that x% equals 478 of the output value, so we can write it down as x%=478.
5. Now we have two simple equations:
1) 100%=7
2) x%=478
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%=7/478
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 478 is what percent of 7

100%/x%=7/478
(100/x)*x=(7/478)*x       - we multiply both sides of the equation by x
100=0.014644351464435*x       - we divide both sides of the equation by (0.014644351464435) to get x
100/0.014644351464435=x
6828.5714285714=x
x=6828.5714285714

now we have:
478 is 6828.5714285714% of 7