137.8 is what percent of 2074.14 - 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 2074.14 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 2074.14, so we can write it down as 100%=2074.14.
4. We know, that x% equals 137.8 of the output value, so we can write it down as x%=137.8.
5. Now we have two simple equations:
1) 100%=2074.14
2) x%=137.8
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%=2074.14/137.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 137.8 is what percent of 2074.14

100%/x%=2074.14/137.8
(100/x)*x=(2074.14/137.8)*x       - we multiply both sides of the equation by x
100=15.051814223512*x       - we divide both sides of the equation by (15.051814223512) to get x
100/15.051814223512=x
6.6437173961256=x
x=6.6437173961256

now we have:
137.8 is 6.6437173961256% of 2074.14