148.23 is what percent of 423.5 - 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 423.5 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 423.5, so we can write it down as 100%=423.5.
4. We know, that x% equals 148.23 of the output value, so we can write it down as x%=148.23.
5. Now we have two simple equations:
1) 100%=423.5
2) x%=148.23
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%=423.5/148.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 148.23 is what percent of 423.5

100%/x%=423.5/148.23
(100/x)*x=(423.5/148.23)*x       - we multiply both sides of the equation by x
100=2.8570464818188*x       - we divide both sides of the equation by (2.8570464818188) to get x
100/2.8570464818188=x
35.001180637544=x
x=35.001180637544

now we have:
148.23 is 35.001180637544% of 423.5