79.47 is what percent of 2 - 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 2 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 2, so we can write it down as 100%=2.
4. We know, that x% equals 79.47 of the output value, so we can write it down as x%=79.47.
5. Now we have two simple equations:
1) 100%=2
2) x%=79.47
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%=2/79.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 79.47 is what percent of 2

100%/x%=2/79.47
(100/x)*x=(2/79.47)*x       - we multiply both sides of the equation by x
100=0.025166729583491*x       - we divide both sides of the equation by (0.025166729583491) to get x
100/0.025166729583491=x
3973.5=x
x=3973.5

now we have:
79.47 is 3973.5% of 2