70.04 is what percent of 5443.38 - 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 5443.38 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 5443.38, so we can write it down as 100%=5443.38.
4. We know, that x% equals 70.04 of the output value, so we can write it down as x%=70.04.
5. Now we have two simple equations:
1) 100%=5443.38
2) x%=70.04
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%=5443.38/70.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70.04 is what percent of 5443.38

100%/x%=5443.38/70.04
(100/x)*x=(5443.38/70.04)*x       - we multiply both sides of the equation by x
100=77.718161050828*x       - we divide both sides of the equation by (77.718161050828) to get x
100/77.718161050828=x
1.2867005426775=x
x=1.2867005426775

now we have:
70.04 is 1.2867005426775% of 5443.38

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