142.4 is what percent of 158 - 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 158 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 158, so we can write it down as 100%=158.
4. We know, that x% equals 142.4 of the output value, so we can write it down as x%=142.4.
5. Now we have two simple equations:
1) 100%=158
2) x%=142.4
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%=158/142.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 142.4 is what percent of 158

100%/x%=158/142.4
(100/x)*x=(158/142.4)*x       - we multiply both sides of the equation by x
100=1.1095505617978*x       - we divide both sides of the equation by (1.1095505617978) to get x
100/1.1095505617978=x
90.126582278481=x
x=90.126582278481

now we have:
142.4 is 90.126582278481% of 158