4.65 is what percent of 74.97 - 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 74.97 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 74.97, so we can write it down as 100%=74.97.
4. We know, that x% equals 4.65 of the output value, so we can write it down as x%=4.65.
5. Now we have two simple equations:
1) 100%=74.97
2) x%=4.65
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%=74.97/4.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.65 is what percent of 74.97

100%/x%=74.97/4.65
(100/x)*x=(74.97/4.65)*x       - we multiply both sides of the equation by x
100=16.122580645161*x       - we divide both sides of the equation by (16.122580645161) to get x
100/16.122580645161=x
6.202480992397=x
x=6.202480992397

now we have:
4.65 is 6.202480992397% of 74.97