2.1 is what percent of 0.8 - 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 0.8 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 0.8, so we can write it down as 100%=0.8.
4. We know, that x% equals 2.1 of the output value, so we can write it down as x%=2.1.
5. Now we have two simple equations:
1) 100%=0.8
2) x%=2.1
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%=0.8/2.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.1 is what percent of 0.8

100%/x%=0.8/2.1
(100/x)*x=(0.8/2.1)*x       - we multiply both sides of the equation by x
100=0.38095238095238*x       - we divide both sides of the equation by (0.38095238095238) to get x
100/0.38095238095238=x
262.5=x
x=262.5

now we have:
2.1 is 262.5% of 0.8