24.4 is what percent of 167.6 - 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 167.6 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 167.6, so we can write it down as 100%=167.6.
4. We know, that x% equals 24.4 of the output value, so we can write it down as x%=24.4.
5. Now we have two simple equations:
1) 100%=167.6
2) x%=24.4
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%=167.6/24.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.4 is what percent of 167.6

100%/x%=167.6/24.4
(100/x)*x=(167.6/24.4)*x       - we multiply both sides of the equation by x
100=6.8688524590164*x       - we divide both sides of the equation by (6.8688524590164) to get x
100/6.8688524590164=x
14.558472553699=x
x=14.558472553699

now we have:
24.4 is 14.558472553699% of 167.6

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