148.99 is what percent of 2963.73 - 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 2963.73 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 2963.73, so we can write it down as 100%=2963.73.
4. We know, that x% equals 148.99 of the output value, so we can write it down as x%=148.99.
5. Now we have two simple equations:
1) 100%=2963.73
2) x%=148.99
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%=2963.73/148.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 148.99 is what percent of 2963.73

100%/x%=2963.73/148.99
(100/x)*x=(2963.73/148.99)*x       - we multiply both sides of the equation by x
100=19.892140412108*x       - we divide both sides of the equation by (19.892140412108) to get x
100/19.892140412108=x
5.0271111066123=x
x=5.0271111066123

now we have:
148.99 is 5.0271111066123% of 2963.73