4.33 is what percent of 260 - 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 260 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 260, so we can write it down as 100%=260.
4. We know, that x% equals 4.33 of the output value, so we can write it down as x%=4.33.
5. Now we have two simple equations:
1) 100%=260
2) x%=4.33
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%=260/4.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.33 is what percent of 260

100%/x%=260/4.33
(100/x)*x=(260/4.33)*x       - we multiply both sides of the equation by x
100=60.046189376443*x       - we divide both sides of the equation by (60.046189376443) to get x
100/60.046189376443=x
1.6653846153846=x
x=1.6653846153846

now we have:
4.33 is 1.6653846153846% of 260

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