65.59 is what percent of 423.15 - 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 423.15 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 423.15, so we can write it down as 100%=423.15.
4. We know, that x% equals 65.59 of the output value, so we can write it down as x%=65.59.
5. Now we have two simple equations:
1) 100%=423.15
2) x%=65.59
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%=423.15/65.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.59 is what percent of 423.15

100%/x%=423.15/65.59
(100/x)*x=(423.15/65.59)*x       - we multiply both sides of the equation by x
100=6.4514407684098*x       - we divide both sides of the equation by (6.4514407684098) to get x
100/6.4514407684098=x
15.50041356493=x
x=15.50041356493

now we have:
65.59 is 15.50041356493% of 423.15