79.82 is what percent of 313.18 - 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 313.18 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 313.18, so we can write it down as 100%=313.18.
4. We know, that x% equals 79.82 of the output value, so we can write it down as x%=79.82.
5. Now we have two simple equations:
1) 100%=313.18
2) x%=79.82
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%=313.18/79.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 79.82 is what percent of 313.18

100%/x%=313.18/79.82
(100/x)*x=(313.18/79.82)*x       - we multiply both sides of the equation by x
100=3.9235780506139*x       - we divide both sides of the equation by (3.9235780506139) to get x
100/3.9235780506139=x
25.486940417651=x
x=25.486940417651

now we have:
79.82 is 25.486940417651% of 313.18