4.25 is what percent of 186.97 - 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 186.97 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 186.97, so we can write it down as 100%=186.97.
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%=186.97
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%=186.97/4.25
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 186.97

100%/x%=186.97/4.25
(100/x)*x=(186.97/4.25)*x       - we multiply both sides of the equation by x
100=43.992941176471*x       - we divide both sides of the equation by (43.992941176471) to get x
100/43.992941176471=x
2.2730919398834=x
x=2.2730919398834

now we have:
4.25 is 2.2730919398834% of 186.97