24.95 is what percent of 150.45 - 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 150.45 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 150.45, so we can write it down as 100%=150.45.
4. We know, that x% equals 24.95 of the output value, so we can write it down as x%=24.95.
5. Now we have two simple equations:
1) 100%=150.45
2) x%=24.95
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%=150.45/24.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.95 is what percent of 150.45

100%/x%=150.45/24.95
(100/x)*x=(150.45/24.95)*x       - we multiply both sides of the equation by x
100=6.0300601202405*x       - we divide both sides of the equation by (6.0300601202405) to get x
100/6.0300601202405=x
16.583582585577=x
x=16.583582585577

now we have:
24.95 is 16.583582585577% of 150.45

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