22 is what percent of 210 - 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 210 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 210, so we can write it down as 100%=210.
4. We know, that x% equals 22 of the output value, so we can write it down as x%=22.
5. Now we have two simple equations:
1) 100%=210
2) x%=22
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%=210/22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22 is what percent of 210

100%/x%=210/22
(100/x)*x=(210/22)*x - we multiply both sides of the equation by x
100=9.5*x - we divide both sides of the equation by (9.5) to get x
100/9.5=x
10.47619047619=x
x=10.47619047619

now we have:
22 is 10.47619047619% of 210

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