140.05 is what percent of 1405 - 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 1405 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 1405, so we can write it down as 100%=1405.
4. We know, that x% equals 140.05 of the output value, so we can write it down as x%=140.05.
5. Now we have two simple equations:
1) 100%=1405
2) x%=140.05
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%=1405/140.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 140.05 is what percent of 1405

100%/x%=1405/140.05
(100/x)*x=(1405/140.05)*x       - we multiply both sides of the equation by x
100=10.032131381649*x       - we divide both sides of the equation by (10.032131381649) to get x
100/10.032131381649=x
9.9679715302491=x
x=9.9679715302491

now we have:
140.05 is 9.9679715302491% of 1405