88 is what percent of 491 - 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 491 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 491, so we can write it down as 100%=491.
4. We know, that x% equals 88 of the output value, so we can write it down as x%=88.
5. Now we have two simple equations:
1) 100%=491
2) x%=88
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%=491/88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88 is what percent of 491

100%/x%=491/88
(100/x)*x=(491/88)*x       - we multiply both sides of the equation by x
100=5.5795454545455*x       - we divide both sides of the equation by (5.5795454545455) to get x
100/5.5795454545455=x
17.922606924644=x
x=17.922606924644

now we have:
88 is 17.922606924644% of 491

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