67 is what percent of 1.411 - 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 1.411 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 1.411, so we can write it down as 100%=1.411.
4. We know, that x% equals 67 of the output value, so we can write it down as x%=67.
5. Now we have two simple equations:
1) 100%=1.411
2) x%=67
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%=1.411/67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67 is what percent of 1.411

100%/x%=1.411/67
(100/x)*x=(1.411/67)*x       - we multiply both sides of the equation by x
100=0.021059701492537*x       - we divide both sides of the equation by (0.021059701492537) to get x
100/0.021059701492537=x
4748.4053862509=x
x=4748.4053862509

now we have:
67 is 4748.4053862509% of 1.411