97.79 is what percent of 167.33 - 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 167.33 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 167.33, so we can write it down as 100%=167.33.
4. We know, that x% equals 97.79 of the output value, so we can write it down as x%=97.79.
5. Now we have two simple equations:
1) 100%=167.33
2) x%=97.79
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%=167.33/97.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.79 is what percent of 167.33

100%/x%=167.33/97.79
(100/x)*x=(167.33/97.79)*x       - we multiply both sides of the equation by x
100=1.7111156559975*x       - we divide both sides of the equation by (1.7111156559975) to get x
100/1.7111156559975=x
58.441403215203=x
x=58.441403215203

now we have:
97.79 is 58.441403215203% of 167.33