425 is what percent of 6978 - 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 6978 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 6978, so we can write it down as 100%=6978.
4. We know, that x% equals 425 of the output value, so we can write it down as x%=425.
5. Now we have two simple equations:
1) 100%=6978
2) x%=425
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%=6978/425
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 425 is what percent of 6978

100%/x%=6978/425
(100/x)*x=(6978/425)*x       - we multiply both sides of the equation by x
100=16.418823529412*x       - we divide both sides of the equation by (16.418823529412) to get x
100/16.418823529412=x
6.0905703640011=x
x=6.0905703640011

now we have:
425 is 6.0905703640011% of 6978