4.62 is what percent of 168.52 - 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 168.52 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 168.52, so we can write it down as 100%=168.52.
4. We know, that x% equals 4.62 of the output value, so we can write it down as x%=4.62.
5. Now we have two simple equations:
1) 100%=168.52
2) x%=4.62
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%=168.52/4.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.62 is what percent of 168.52

100%/x%=168.52/4.62
(100/x)*x=(168.52/4.62)*x       - we multiply both sides of the equation by x
100=36.47619047619*x       - we divide both sides of the equation by (36.47619047619) to get x
100/36.47619047619=x
2.7415143603133=x
x=2.7415143603133

now we have:
4.62 is 2.7415143603133% of 168.52