2.46 is what percent of 14.71 - 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 14.71 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 14.71, so we can write it down as 100%=14.71.
4. We know, that x% equals 2.46 of the output value, so we can write it down as x%=2.46.
5. Now we have two simple equations:
1) 100%=14.71
2) x%=2.46
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%=14.71/2.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.46 is what percent of 14.71

100%/x%=14.71/2.46
(100/x)*x=(14.71/2.46)*x       - we multiply both sides of the equation by x
100=5.979674796748*x       - we divide both sides of the equation by (5.979674796748) to get x
100/5.979674796748=x
16.723317471108=x
x=16.723317471108

now we have:
2.46 is 16.723317471108% of 14.71