45 is what percent of 220 - 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 220 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 220, so we can write it down as 100%=220.
4. We know, that x% equals 45 of the output value, so we can write it down as x%=45.
5. Now we have two simple equations:
1) 100%=220
2) x%=45
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%=220/45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45 is what percent of 220

100%/x%=220/45
(100/x)*x=(220/45)*x - we multiply both sides of the equation by x
100=4.88888888889*x - we divide both sides of the equation by (4.88888888889) to get x
100/4.88888888889=x
20.4545454545=x
x=20.4545454545

now we have:
45 is 20.4545454545% of 220

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