97.66 is what percent of 293 - 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 293 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 293, so we can write it down as 100%=293.
4. We know, that x% equals 97.66 of the output value, so we can write it down as x%=97.66.
5. Now we have two simple equations:
1) 100%=293
2) x%=97.66
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%=293/97.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.66 is what percent of 293

100%/x%=293/97.66
(100/x)*x=(293/97.66)*x       - we multiply both sides of the equation by x
100=3.000204792136*x       - we divide both sides of the equation by (3.000204792136) to get x
100/3.000204792136=x
33.331058020478=x
x=33.331058020478

now we have:
97.66 is 33.331058020478% of 293