1478.5 is what percent of 7047.5 - 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 7047.5 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 7047.5, so we can write it down as 100%=7047.5.
4. We know, that x% equals 1478.5 of the output value, so we can write it down as x%=1478.5.
5. Now we have two simple equations:
1) 100%=7047.5
2) x%=1478.5
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%=7047.5/1478.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1478.5 is what percent of 7047.5

100%/x%=7047.5/1478.5
(100/x)*x=(7047.5/1478.5)*x       - we multiply both sides of the equation by x
100=4.7666553939804*x       - we divide both sides of the equation by (4.7666553939804) to get x
100/4.7666553939804=x
20.979070592409=x
x=20.979070592409

now we have:
1478.5 is 20.979070592409% of 7047.5