45 is what percent of 190 - 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 190 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 190, so we can write it down as 100%=190.
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%=190
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%=190/45
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 190

100%/x%=190/45
(100/x)*x=(190/45)*x - we multiply both sides of the equation by x
100=4.22222222222*x - we divide both sides of the equation by (4.22222222222) to get x
100/4.22222222222=x
23.6842105263=x
x=23.6842105263

now we have:
45 is 23.6842105263% of 190

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