91 is what percent of 285 - 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 285 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 285, so we can write it down as 100%=285.
4. We know, that x% equals 91 of the output value, so we can write it down as x%=91.
5. Now we have two simple equations:
1) 100%=285
2) x%=91
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%=285/91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 91 is what percent of 285

100%/x%=285/91
(100/x)*x=(285/91)*x       - we multiply both sides of the equation by x
100=3.1318681318681*x       - we divide both sides of the equation by (3.1318681318681) to get x
100/3.1318681318681=x
31.929824561404=x
x=31.929824561404

now we have:
91 is 31.929824561404% of 285

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