4.53 is what percent of 165 - 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 165 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 165, so we can write it down as 100%=165.
4. We know, that x% equals 4.53 of the output value, so we can write it down as x%=4.53.
5. Now we have two simple equations:
1) 100%=165
2) x%=4.53
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%=165/4.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.53 is what percent of 165

100%/x%=165/4.53
(100/x)*x=(165/4.53)*x       - we multiply both sides of the equation by x
100=36.423841059603*x       - we divide both sides of the equation by (36.423841059603) to get x
100/36.423841059603=x
2.7454545454545=x
x=2.7454545454545

now we have:
4.53 is 2.7454545454545% of 165