178.01 is what percent of 1314.34 - 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 1314.34 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 1314.34, so we can write it down as 100%=1314.34.
4. We know, that x% equals 178.01 of the output value, so we can write it down as x%=178.01.
5. Now we have two simple equations:
1) 100%=1314.34
2) x%=178.01
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%=1314.34/178.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 178.01 is what percent of 1314.34

100%/x%=1314.34/178.01
(100/x)*x=(1314.34/178.01)*x       - we multiply both sides of the equation by x
100=7.3835177799*x       - we divide both sides of the equation by (7.3835177799) to get x
100/7.3835177799=x
13.543679717577=x
x=13.543679717577

now we have:
178.01 is 13.543679717577% of 1314.34