7.42 is what percent of 184.62 - 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 184.62 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 184.62, so we can write it down as 100%=184.62.
4. We know, that x% equals 7.42 of the output value, so we can write it down as x%=7.42.
5. Now we have two simple equations:
1) 100%=184.62
2) x%=7.42
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%=184.62/7.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.42 is what percent of 184.62

100%/x%=184.62/7.42
(100/x)*x=(184.62/7.42)*x       - we multiply both sides of the equation by x
100=24.881401617251*x       - we divide both sides of the equation by (24.881401617251) to get x
100/24.881401617251=x
4.0190661900119=x
x=4.0190661900119

now we have:
7.42 is 4.0190661900119% of 184.62