149.97 is what percent of 209.97 - 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 209.97 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 209.97, so we can write it down as 100%=209.97.
4. We know, that x% equals 149.97 of the output value, so we can write it down as x%=149.97.
5. Now we have two simple equations:
1) 100%=209.97
2) x%=149.97
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%=209.97/149.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 149.97 is what percent of 209.97

100%/x%=209.97/149.97
(100/x)*x=(209.97/149.97)*x       - we multiply both sides of the equation by x
100=1.4000800160032*x       - we divide both sides of the equation by (1.4000800160032) to get x
100/1.4000800160032=x
71.424489212745=x
x=71.424489212745

now we have:
149.97 is 71.424489212745% of 209.97