1.75 is what percent of 259 - 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 259 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 259, so we can write it down as 100%=259.
4. We know, that x% equals 1.75 of the output value, so we can write it down as x%=1.75.
5. Now we have two simple equations:
1) 100%=259
2) x%=1.75
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%=259/1.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.75 is what percent of 259

100%/x%=259/1.75
(100/x)*x=(259/1.75)*x       - we multiply both sides of the equation by x
100=148*x       - we divide both sides of the equation by (148) to get x
100/148=x
0.67567567567568=x
x=0.67567567567568

now we have:
1.75 is 0.67567567567568% of 259

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