0.08 is what percent of 2.21 - 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 2.21 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 2.21, so we can write it down as 100%=2.21.
4. We know, that x% equals 0.08 of the output value, so we can write it down as x%=0.08.
5. Now we have two simple equations:
1) 100%=2.21
2) x%=0.08
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%=2.21/0.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.08 is what percent of 2.21

100%/x%=2.21/0.08
(100/x)*x=(2.21/0.08)*x       - we multiply both sides of the equation by x
100=27.625*x       - we divide both sides of the equation by (27.625) to get x
100/27.625=x
3.6199095022624=x
x=3.6199095022624

now we have:
0.08 is 3.6199095022624% of 2.21