70.82 is what percent of 79 - 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 79 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 79, so we can write it down as 100%=79.
4. We know, that x% equals 70.82 of the output value, so we can write it down as x%=70.82.
5. Now we have two simple equations:
1) 100%=79
2) x%=70.82
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%=79/70.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70.82 is what percent of 79

100%/x%=79/70.82
(100/x)*x=(79/70.82)*x       - we multiply both sides of the equation by x
100=1.1155040948884*x       - we divide both sides of the equation by (1.1155040948884) to get x
100/1.1155040948884=x
89.645569620253=x
x=89.645569620253

now we have:
70.82 is 89.645569620253% of 79