65.61 is what percent of 359.52 - 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 359.52 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 359.52, so we can write it down as 100%=359.52.
4. We know, that x% equals 65.61 of the output value, so we can write it down as x%=65.61.
5. Now we have two simple equations:
1) 100%=359.52
2) x%=65.61
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%=359.52/65.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.61 is what percent of 359.52

100%/x%=359.52/65.61
(100/x)*x=(359.52/65.61)*x       - we multiply both sides of the equation by x
100=5.4796524919982*x       - we divide both sides of the equation by (5.4796524919982) to get x
100/5.4796524919982=x
18.249332443258=x
x=18.249332443258

now we have:
65.61 is 18.249332443258% of 359.52