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

7. Solution for 1405 is what percent of 5

100%/x%=5/1405
(100/x)*x=(5/1405)*x       - we multiply both sides of the equation by x
100=0.00355871886121*x       - we divide both sides of the equation by (0.00355871886121) to get x
100/0.00355871886121=x
28100=x
x=28100

now we have:
1405 is 28100% of 5