148.8 is what percent of 2256 - 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 2256 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 2256, so we can write it down as 100%=2256.
4. We know, that x% equals 148.8 of the output value, so we can write it down as x%=148.8.
5. Now we have two simple equations:
1) 100%=2256
2) x%=148.8
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%=2256/148.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 148.8 is what percent of 2256

100%/x%=2256/148.8
(100/x)*x=(2256/148.8)*x       - we multiply both sides of the equation by x
100=15.161290322581*x       - we divide both sides of the equation by (15.161290322581) to get x
100/15.161290322581=x
6.5957446808511=x
x=6.5957446808511

now we have:
148.8 is 6.5957446808511% of 2256

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