720.95 is what percent of 1838.24 - 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 1838.24 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 1838.24, so we can write it down as 100%=1838.24.
4. We know, that x% equals 720.95 of the output value, so we can write it down as x%=720.95.
5. Now we have two simple equations:
1) 100%=1838.24
2) x%=720.95
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%=1838.24/720.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 720.95 is what percent of 1838.24

100%/x%=1838.24/720.95
(100/x)*x=(1838.24/720.95)*x       - we multiply both sides of the equation by x
100=2.5497468617796*x       - we divide both sides of the equation by (2.5497468617796) to get x
100/2.5497468617796=x
39.219579597876=x
x=39.219579597876

now we have:
720.95 is 39.219579597876% of 1838.24

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