79 is what percent of 85.4 - 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 85.4 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 85.4, so we can write it down as 100%=85.4.
4. We know, that x% equals 79 of the output value, so we can write it down as x%=79.
5. Now we have two simple equations:
1) 100%=85.4
2) x%=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%=85.4/79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 79 is what percent of 85.4

100%/x%=85.4/79
(100/x)*x=(85.4/79)*x       - we multiply both sides of the equation by x
100=1.0810126582278*x       - we divide both sides of the equation by (1.0810126582278) to get x
100/1.0810126582278=x
92.505854800937=x
x=92.505854800937

now we have:
79 is 92.505854800937% of 85.4