3.51 is what percent of 42.51 - 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 42.51 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 42.51, so we can write it down as 100%=42.51.
4. We know, that x% equals 3.51 of the output value, so we can write it down as x%=3.51.
5. Now we have two simple equations:
1) 100%=42.51
2) x%=3.51
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%=42.51/3.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.51 is what percent of 42.51

100%/x%=42.51/3.51
(100/x)*x=(42.51/3.51)*x       - we multiply both sides of the equation by x
100=12.111111111111*x       - we divide both sides of the equation by (12.111111111111) to get x
100/12.111111111111=x
8.256880733945=x
x=8.256880733945

now we have:
3.51 is 8.256880733945% of 42.51