14.55 is what percent of 2968 - 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 2968 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 2968, so we can write it down as 100%=2968.
4. We know, that x% equals 14.55 of the output value, so we can write it down as x%=14.55.
5. Now we have two simple equations:
1) 100%=2968
2) x%=14.55
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%=2968/14.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.55 is what percent of 2968

100%/x%=2968/14.55
(100/x)*x=(2968/14.55)*x       - we multiply both sides of the equation by x
100=203.98625429553*x       - we divide both sides of the equation by (203.98625429553) to get x
100/203.98625429553=x
0.49022911051213=x
x=0.49022911051213

now we have:
14.55 is 0.49022911051213% of 2968