23 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 23 of the output value, so we can write it down as x%=23.
5. Now we have two simple equations:
1) 100%=1405
2) x%=23
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%=1405/23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23 is what percent of 1405

100%/x%=1405/23
(100/x)*x=(1405/23)*x       - we multiply both sides of the equation by x
100=61.086956521739*x       - we divide both sides of the equation by (61.086956521739) to get x
100/61.086956521739=x
1.6370106761566=x
x=1.6370106761566

now we have:
23 is 1.6370106761566% of 1405