34.97 is what percent of 49.97 - 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 49.97 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 49.97, so we can write it down as 100%=49.97.
4. We know, that x% equals 34.97 of the output value, so we can write it down as x%=34.97.
5. Now we have two simple equations:
1) 100%=49.97
2) x%=34.97
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%=49.97/34.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.97 is what percent of 49.97

100%/x%=49.97/34.97
(100/x)*x=(49.97/34.97)*x       - we multiply both sides of the equation by x
100=1.4289390906491*x       - we divide both sides of the equation by (1.4289390906491) to get x
100/1.4289390906491=x
69.981989193516=x
x=69.981989193516

now we have:
34.97 is 69.981989193516% of 49.97