110.01 is what percent of 146.67 - 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 146.67 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 146.67, so we can write it down as 100%=146.67.
4. We know, that x% equals 110.01 of the output value, so we can write it down as x%=110.01.
5. Now we have two simple equations:
1) 100%=146.67
2) x%=110.01
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%=146.67/110.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 110.01 is what percent of 146.67

100%/x%=146.67/110.01
(100/x)*x=(146.67/110.01)*x       - we multiply both sides of the equation by x
100=1.3332424325061*x       - we divide both sides of the equation by (1.3332424325061) to get x
100/1.3332424325061=x
75.005113520147=x
x=75.005113520147

now we have:
110.01 is 75.005113520147% of 146.67