491.4 is what percent of 40262.88 - 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 40262.88 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 40262.88, so we can write it down as 100%=40262.88.
4. We know, that x% equals 491.4 of the output value, so we can write it down as x%=491.4.
5. Now we have two simple equations:
1) 100%=40262.88
2) x%=491.4
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%=40262.88/491.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 491.4 is what percent of 40262.88

100%/x%=40262.88/491.4
(100/x)*x=(40262.88/491.4)*x       - we multiply both sides of the equation by x
100=81.935042735043*x       - we divide both sides of the equation by (81.935042735043) to get x
100/81.935042735043=x
1.2204790119336=x
x=1.2204790119336

now we have:
491.4 is 1.2204790119336% of 40262.88

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