139.6 is what percent of 167 - 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 167 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 167, so we can write it down as 100%=167.
4. We know, that x% equals 139.6 of the output value, so we can write it down as x%=139.6.
5. Now we have two simple equations:
1) 100%=167
2) x%=139.6
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%=167/139.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 139.6 is what percent of 167

100%/x%=167/139.6
(100/x)*x=(167/139.6)*x       - we multiply both sides of the equation by x
100=1.1962750716332*x       - we divide both sides of the equation by (1.1962750716332) to get x
100/1.1962750716332=x
83.592814371257=x
x=83.592814371257

now we have:
139.6 is 83.592814371257% of 167