546 is what percent of 765 - step by step solution

Simple and best practice solution for 546 is what percent of 765. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

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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 765 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 765, so we can write it down as 100%=765.
4. We know, that x% equals 546 of the output value, so we can write it down as x%=546.
5. Now we have two simple equations:
1) 100%=765
2) x%=546
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%=765/546
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 546 is what percent of 765

100%/x%=765/546
(100/x)*x=(765/546)*x       - we multiply both sides of the equation by x
100=1.4010989010989*x       - we divide both sides of the equation by (1.4010989010989) to get x
100/1.4010989010989=x
71.372549019608=x
x=71.372549019608

now we have:
546 is 71.372549019608% of 765

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