883.2 is what percent of 1254.2 - 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 1254.2 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 1254.2, so we can write it down as 100%=1254.2.
4. We know, that x% equals 883.2 of the output value, so we can write it down as x%=883.2.
5. Now we have two simple equations:
1) 100%=1254.2
2) x%=883.2
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%=1254.2/883.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 883.2 is what percent of 1254.2

100%/x%=1254.2/883.2
(100/x)*x=(1254.2/883.2)*x       - we multiply both sides of the equation by x
100=1.4200634057971*x       - we divide both sides of the equation by (1.4200634057971) to get x
100/1.4200634057971=x
70.419390846755=x
x=70.419390846755

now we have:
883.2 is 70.419390846755% of 1254.2

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