145.1 is what percent of 150.1 - 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 150.1 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 150.1, so we can write it down as 100%=150.1.
4. We know, that x% equals 145.1 of the output value, so we can write it down as x%=145.1.
5. Now we have two simple equations:
1) 100%=150.1
2) x%=145.1
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%=150.1/145.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 145.1 is what percent of 150.1

100%/x%=150.1/145.1
(100/x)*x=(150.1/145.1)*x       - we multiply both sides of the equation by x
100=1.0344589937974*x       - we divide both sides of the equation by (1.0344589937974) to get x
100/1.0344589937974=x
96.668887408394=x
x=96.668887408394

now we have:
145.1 is 96.668887408394% of 150.1