148.3 is what percent of 775.2 - 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 775.2 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 775.2, so we can write it down as 100%=775.2.
4. We know, that x% equals 148.3 of the output value, so we can write it down as x%=148.3.
5. Now we have two simple equations:
1) 100%=775.2
2) x%=148.3
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%=775.2/148.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 148.3 is what percent of 775.2

100%/x%=775.2/148.3
(100/x)*x=(775.2/148.3)*x       - we multiply both sides of the equation by x
100=5.2272420768712*x       - we divide both sides of the equation by (5.2272420768712) to get x
100/5.2272420768712=x
19.130546955624=x
x=19.130546955624

now we have:
148.3 is 19.130546955624% of 775.2