2.62 is what percent of 150.22 - 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 150.22 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 150.22, so we can write it down as 100%=150.22.
4. We know, that x% equals 2.62 of the output value, so we can write it down as x%=2.62.
5. Now we have two simple equations:
1) 100%=150.22
2) x%=2.62
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%=150.22/2.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.62 is what percent of 150.22

100%/x%=150.22/2.62
(100/x)*x=(150.22/2.62)*x       - we multiply both sides of the equation by x
100=57.335877862595*x       - we divide both sides of the equation by (57.335877862595) to get x
100/57.335877862595=x
1.7441086406604=x
x=1.7441086406604

now we have:
2.62 is 1.7441086406604% of 150.22

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