79.5 is what percent of 430.43 - 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 430.43 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 430.43, so we can write it down as 100%=430.43.
4. We know, that x% equals 79.5 of the output value, so we can write it down as x%=79.5.
5. Now we have two simple equations:
1) 100%=430.43
2) x%=79.5
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%=430.43/79.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 79.5 is what percent of 430.43

100%/x%=430.43/79.5
(100/x)*x=(430.43/79.5)*x       - we multiply both sides of the equation by x
100=5.414213836478*x       - we divide both sides of the equation by (5.414213836478) to get x
100/5.414213836478=x
18.469902190832=x
x=18.469902190832

now we have:
79.5 is 18.469902190832% of 430.43