34.96 is what percent of 42.98 - 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 42.98 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 42.98, so we can write it down as 100%=42.98.
4. We know, that x% equals 34.96 of the output value, so we can write it down as x%=34.96.
5. Now we have two simple equations:
1) 100%=42.98
2) x%=34.96
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%=42.98/34.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.96 is what percent of 42.98

100%/x%=42.98/34.96
(100/x)*x=(42.98/34.96)*x       - we multiply both sides of the equation by x
100=1.2294050343249*x       - we divide both sides of the equation by (1.2294050343249) to get x
100/1.2294050343249=x
81.340158213122=x
x=81.340158213122

now we have:
34.96 is 81.340158213122% of 42.98