145.12 is what percent of 154.12 - 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 154.12 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 154.12, so we can write it down as 100%=154.12.
4. We know, that x% equals 145.12 of the output value, so we can write it down as x%=145.12.
5. Now we have two simple equations:
1) 100%=154.12
2) x%=145.12
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%=154.12/145.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 145.12 is what percent of 154.12

100%/x%=154.12/145.12
(100/x)*x=(154.12/145.12)*x       - we multiply both sides of the equation by x
100=1.0620176405733*x       - we divide both sides of the equation by (1.0620176405733) to get x
100/1.0620176405733=x
94.160394497794=x
x=94.160394497794

now we have:
145.12 is 94.160394497794% of 154.12