178.99 is what percent of 262.88 - 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 262.88 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 262.88, so we can write it down as 100%=262.88.
4. We know, that x% equals 178.99 of the output value, so we can write it down as x%=178.99.
5. Now we have two simple equations:
1) 100%=262.88
2) x%=178.99
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%=262.88/178.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 178.99 is what percent of 262.88

100%/x%=262.88/178.99
(100/x)*x=(262.88/178.99)*x       - we multiply both sides of the equation by x
100=1.4686854014191*x       - we divide both sides of the equation by (1.4686854014191) to get x
100/1.4686854014191=x
68.088101034693=x
x=68.088101034693

now we have:
178.99 is 68.088101034693% of 262.88