148.5 is what percent of 738.5 - 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 738.5 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 738.5, so we can write it down as 100%=738.5.
4. We know, that x% equals 148.5 of the output value, so we can write it down as x%=148.5.
5. Now we have two simple equations:
1) 100%=738.5
2) x%=148.5
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%=738.5/148.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 148.5 is what percent of 738.5

100%/x%=738.5/148.5
(100/x)*x=(738.5/148.5)*x       - we multiply both sides of the equation by x
100=4.973063973064*x       - we divide both sides of the equation by (4.973063973064) to get x
100/4.973063973064=x
20.108327691266=x
x=20.108327691266

now we have:
148.5 is 20.108327691266% of 738.5