79.79 is what percent of 333.96 - 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 333.96 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 333.96, so we can write it down as 100%=333.96.
4. We know, that x% equals 79.79 of the output value, so we can write it down as x%=79.79.
5. Now we have two simple equations:
1) 100%=333.96
2) x%=79.79
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%=333.96/79.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 79.79 is what percent of 333.96

100%/x%=333.96/79.79
(100/x)*x=(333.96/79.79)*x       - we multiply both sides of the equation by x
100=4.1854869031207*x       - we divide both sides of the equation by (4.1854869031207) to get x
100/4.1854869031207=x
23.892082884178=x
x=23.892082884178

now we have:
79.79 is 23.892082884178% of 333.96