151.4 is what percent of 96 - 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 96 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 96, so we can write it down as 100%=96.
4. We know, that x% equals 151.4 of the output value, so we can write it down as x%=151.4.
5. Now we have two simple equations:
1) 100%=96
2) x%=151.4
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%=96/151.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 151.4 is what percent of 96

100%/x%=96/151.4
(100/x)*x=(96/151.4)*x       - we multiply both sides of the equation by x
100=0.63408190224571*x       - we divide both sides of the equation by (0.63408190224571) to get x
100/0.63408190224571=x
157.70833333333=x
x=157.70833333333

now we have:
151.4 is 157.70833333333% of 96