10 is what percent of 17.23 - 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 17.23 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 17.23, so we can write it down as 100%=17.23.
4. We know, that x% equals 10 of the output value, so we can write it down as x%=10.
5. Now we have two simple equations:
1) 100%=17.23
2) x%=10
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%=17.23/10
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10 is what percent of 17.23

100%/x%=17.23/10
(100/x)*x=(17.23/10)*x       - we multiply both sides of the equation by x
100=1.723*x       - we divide both sides of the equation by (1.723) to get x
100/1.723=x
58.038305281486=x
x=58.038305281486

now we have:
10 is 58.038305281486% of 17.23

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