104.64 is what percent of 149.94 - 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 149.94 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 149.94, so we can write it down as 100%=149.94.
4. We know, that x% equals 104.64 of the output value, so we can write it down as x%=104.64.
5. Now we have two simple equations:
1) 100%=149.94
2) x%=104.64
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%=149.94/104.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 104.64 is what percent of 149.94

100%/x%=149.94/104.64
(100/x)*x=(149.94/104.64)*x       - we multiply both sides of the equation by x
100=1.4329128440367*x       - we divide both sides of the equation by (1.4329128440367) to get x
100/1.4329128440367=x
69.787915166066=x
x=69.787915166066

now we have:
104.64 is 69.787915166066% of 149.94