14.65 is what percent of 493.24 - 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 493.24 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 493.24, so we can write it down as 100%=493.24.
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%=493.24
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%=493.24/14.65
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 493.24

100%/x%=493.24/14.65
(100/x)*x=(493.24/14.65)*x       - we multiply both sides of the equation by x
100=33.668259385666*x       - we divide both sides of the equation by (33.668259385666) to get x
100/33.668259385666=x
2.9701565160976=x
x=2.9701565160976

now we have:
14.65 is 2.9701565160976% of 493.24