101.97 is what percent of 234.95 - 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 234.95 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 234.95, so we can write it down as 100%=234.95.
4. We know, that x% equals 101.97 of the output value, so we can write it down as x%=101.97.
5. Now we have two simple equations:
1) 100%=234.95
2) x%=101.97
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%=234.95/101.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 101.97 is what percent of 234.95

100%/x%=234.95/101.97
(100/x)*x=(234.95/101.97)*x       - we multiply both sides of the equation by x
100=2.3041090516819*x       - we divide both sides of the equation by (2.3041090516819) to get x
100/2.3041090516819=x
43.400723558204=x
x=43.400723558204

now we have:
101.97 is 43.400723558204% of 234.95