7.38 is what percent of 508.8 - 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 508.8 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 508.8, so we can write it down as 100%=508.8.
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%=508.8
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%=508.8/7.38
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 508.8

100%/x%=508.8/7.38
(100/x)*x=(508.8/7.38)*x       - we multiply both sides of the equation by x
100=68.943089430894*x       - we divide both sides of the equation by (68.943089430894) to get x
100/68.943089430894=x
1.4504716981132=x
x=1.4504716981132

now we have:
7.38 is 1.4504716981132% of 508.8