42.43 is what percent of 60 - 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 60 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 60, so we can write it down as 100%=60.
4. We know, that x% equals 42.43 of the output value, so we can write it down as x%=42.43.
5. Now we have two simple equations:
1) 100%=60
2) x%=42.43
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%=60/42.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.43 is what percent of 60

100%/x%=60/42.43
(100/x)*x=(60/42.43)*x       - we multiply both sides of the equation by x
100=1.4140938015555*x       - we divide both sides of the equation by (1.4140938015555) to get x
100/1.4140938015555=x
70.716666666667=x
x=70.716666666667

now we have:
42.43 is 70.716666666667% of 60