4.25 is what percent of 2746.25 - 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 2746.25 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 2746.25, so we can write it down as 100%=2746.25.
4. We know, that x% equals 4.25 of the output value, so we can write it down as x%=4.25.
5. Now we have two simple equations:
1) 100%=2746.25
2) x%=4.25
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%=2746.25/4.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.25 is what percent of 2746.25

100%/x%=2746.25/4.25
(100/x)*x=(2746.25/4.25)*x       - we multiply both sides of the equation by x
100=646.17647058824*x       - we divide both sides of the equation by (646.17647058824) to get x
100/646.17647058824=x
0.15475648611743=x
x=0.15475648611743

now we have:
4.25 is 0.15475648611743% of 2746.25