97.64 is what percent of 296.34 - 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 296.34 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 296.34, so we can write it down as 100%=296.34.
4. We know, that x% equals 97.64 of the output value, so we can write it down as x%=97.64.
5. Now we have two simple equations:
1) 100%=296.34
2) x%=97.64
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%=296.34/97.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.64 is what percent of 296.34

100%/x%=296.34/97.64
(100/x)*x=(296.34/97.64)*x       - we multiply both sides of the equation by x
100=3.035026628431*x       - we divide both sides of the equation by (3.035026628431) to get x
100/3.035026628431=x
32.948640075589=x
x=32.948640075589

now we have:
97.64 is 32.948640075589% of 296.34