219.99 is what percent of 15 - 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 15 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 15, so we can write it down as 100%=15.
4. We know, that x% equals 219.99 of the output value, so we can write it down as x%=219.99.
5. Now we have two simple equations:
1) 100%=15
2) x%=219.99
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%=15/219.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 219.99 is what percent of 15

100%/x%=15/219.99
(100/x)*x=(15/219.99)*x       - we multiply both sides of the equation by x
100=0.06818491749625*x       - we divide both sides of the equation by (0.06818491749625) to get x
100/0.06818491749625=x
1466.6=x
x=1466.6

now we have:
219.99 is 1466.6% of 15

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