25.78 is what percent of 546.68 - 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 546.68 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 546.68, so we can write it down as 100%=546.68.
4. We know, that x% equals 25.78 of the output value, so we can write it down as x%=25.78.
5. Now we have two simple equations:
1) 100%=546.68
2) x%=25.78
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%=546.68/25.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.78 is what percent of 546.68

100%/x%=546.68/25.78
(100/x)*x=(546.68/25.78)*x       - we multiply both sides of the equation by x
100=21.205585725369*x       - we divide both sides of the equation by (21.205585725369) to get x
100/21.205585725369=x
4.715738640521=x
x=4.715738640521

now we have:
25.78 is 4.715738640521% of 546.68