67.4 is what percent of 146 - 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 146 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 146, so we can write it down as 100%=146.
4. We know, that x% equals 67.4 of the output value, so we can write it down as x%=67.4.
5. Now we have two simple equations:
1) 100%=146
2) x%=67.4
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%=146/67.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.4 is what percent of 146

100%/x%=146/67.4
(100/x)*x=(146/67.4)*x       - we multiply both sides of the equation by x
100=2.1661721068249*x       - we divide both sides of the equation by (2.1661721068249) to get x
100/2.1661721068249=x
46.164383561644=x
x=46.164383561644

now we have:
67.4 is 46.164383561644% of 146