14.65 is what percent of 21.35 - 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 21.35 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 21.35, so we can write it down as 100%=21.35.
4. We know, that x% equals 14.65 of the output value, so we can write it down as x%=14.65.
5. Now we have two simple equations:
1) 100%=21.35
2) x%=14.65
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%=21.35/14.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.65 is what percent of 21.35

100%/x%=21.35/14.65
(100/x)*x=(21.35/14.65)*x       - we multiply both sides of the equation by x
100=1.457337883959*x       - we divide both sides of the equation by (1.457337883959) to get x
100/1.457337883959=x
68.618266978923=x
x=68.618266978923

now we have:
14.65 is 68.618266978923% of 21.35