68.52 is what percent of 42 - 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 42 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 42, so we can write it down as 100%=42.
4. We know, that x% equals 68.52 of the output value, so we can write it down as x%=68.52.
5. Now we have two simple equations:
1) 100%=42
2) x%=68.52
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%=42/68.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 68.52 is what percent of 42

100%/x%=42/68.52
(100/x)*x=(42/68.52)*x       - we multiply both sides of the equation by x
100=0.61295971978984*x       - we divide both sides of the equation by (0.61295971978984) to get x
100/0.61295971978984=x
163.14285714286=x
x=163.14285714286

now we have:
68.52 is 163.14285714286% of 42