96 is what percent of 148 - step by step solution

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To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 148 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 148, so we can write it down as 100%=148.
4. We know, that x% equals 96 of the output value, so we can write it down as x%=96.
5. Now we have two simple equations:
1) 100%=148
2) x%=96
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%=148/96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96 is what percent of 148

100%/x%=148/96
(100/x)*x=(148/96)*x       - we multiply both sides of the equation by x
100=1.54166666667*x       - we divide both sides of the equation by (1.54166666667) to get x
100/1.54166666667=x
64.8648648649=x
x=64.8648648649

now we have:
96 is 64.8648648649% of 148

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