0.2 is what percent of 4540 - 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 4540 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 4540, so we can write it down as 100%=4540.
4. We know, that x% equals 0.2 of the output value, so we can write it down as x%=0.2.
5. Now we have two simple equations:
1) 100%=4540
2) x%=0.2
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%=4540/0.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.2 is what percent of 4540

100%/x%=4540/0.2
(100/x)*x=(4540/0.2)*x       - we multiply both sides of the equation by x
100=22700*x       - we divide both sides of the equation by (22700) to get x
100/22700=x
0.0044052863436123=x
x=0.0044052863436123

now we have:
0.2 is 0.0044052863436123% of 4540