13.23 is what percent of 705.31 - 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 705.31 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 705.31, so we can write it down as 100%=705.31.
4. We know, that x% equals 13.23 of the output value, so we can write it down as x%=13.23.
5. Now we have two simple equations:
1) 100%=705.31
2) x%=13.23
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%=705.31/13.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.23 is what percent of 705.31

100%/x%=705.31/13.23
(100/x)*x=(705.31/13.23)*x       - we multiply both sides of the equation by x
100=53.311413454271*x       - we divide both sides of the equation by (53.311413454271) to get x
100/53.311413454271=x
1.8757709376019=x
x=1.8757709376019

now we have:
13.23 is 1.8757709376019% of 705.31