152.5 is what percent of 2900 - 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 2900 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 2900, so we can write it down as 100%=2900.
4. We know, that x% equals 152.5 of the output value, so we can write it down as x%=152.5.
5. Now we have two simple equations:
1) 100%=2900
2) x%=152.5
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%=2900/152.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 152.5 is what percent of 2900

100%/x%=2900/152.5
(100/x)*x=(2900/152.5)*x       - we multiply both sides of the equation by x
100=19.016393442623*x       - we divide both sides of the equation by (19.016393442623) to get x
100/19.016393442623=x
5.2586206896552=x
x=5.2586206896552

now we have:
152.5 is 5.2586206896552% of 2900

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