4 is what percent of 2.225 - 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 2.225 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 2.225, so we can write it down as 100%=2.225.
4. We know, that x% equals 4 of the output value, so we can write it down as x%=4.
5. Now we have two simple equations:
1) 100%=2.225
2) x%=4
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%=2.225/4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4 is what percent of 2.225

100%/x%=2.225/4
(100/x)*x=(2.225/4)*x       - we multiply both sides of the equation by x
100=0.55625*x       - we divide both sides of the equation by (0.55625) to get x
100/0.55625=x
179.77528089888=x
x=179.77528089888

now we have:
4 is 179.77528089888% of 2.225