65 is what percent of 86.21 - 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 86.21 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 86.21, so we can write it down as 100%=86.21.
4. We know, that x% equals 65 of the output value, so we can write it down as x%=65.
5. Now we have two simple equations:
1) 100%=86.21
2) x%=65
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%=86.21/65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65 is what percent of 86.21

100%/x%=86.21/65
(100/x)*x=(86.21/65)*x       - we multiply both sides of the equation by x
100=1.3263076923077*x       - we divide both sides of the equation by (1.3263076923077) to get x
100/1.3263076923077=x
75.397285697715=x
x=75.397285697715

now we have:
65 is 75.397285697715% of 86.21

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