7.38 is what percent of 142.62 - 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 142.62 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 142.62, so we can write it down as 100%=142.62.
4. We know, that x% equals 7.38 of the output value, so we can write it down as x%=7.38.
5. Now we have two simple equations:
1) 100%=142.62
2) x%=7.38
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%=142.62/7.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.38 is what percent of 142.62

100%/x%=142.62/7.38
(100/x)*x=(142.62/7.38)*x       - we multiply both sides of the equation by x
100=19.325203252033*x       - we divide both sides of the equation by (19.325203252033) to get x
100/19.325203252033=x
5.1745898190997=x
x=5.1745898190997

now we have:
7.38 is 5.1745898190997% of 142.62