148.09 is what percent of 301.57 - 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 301.57 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 301.57, so we can write it down as 100%=301.57.
4. We know, that x% equals 148.09 of the output value, so we can write it down as x%=148.09.
5. Now we have two simple equations:
1) 100%=301.57
2) x%=148.09
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%=301.57/148.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 148.09 is what percent of 301.57

100%/x%=301.57/148.09
(100/x)*x=(301.57/148.09)*x       - we multiply both sides of the equation by x
100=2.0363967857384*x       - we divide both sides of the equation by (2.0363967857384) to get x
100/2.0363967857384=x
49.106343469178=x
x=49.106343469178

now we have:
148.09 is 49.106343469178% of 301.57