1.35 is what percent of 40.26 - 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 40.26 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 40.26, so we can write it down as 100%=40.26.
4. We know, that x% equals 1.35 of the output value, so we can write it down as x%=1.35.
5. Now we have two simple equations:
1) 100%=40.26
2) x%=1.35
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%=40.26/1.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.35 is what percent of 40.26

100%/x%=40.26/1.35
(100/x)*x=(40.26/1.35)*x       - we multiply both sides of the equation by x
100=29.822222222222*x       - we divide both sides of the equation by (29.822222222222) to get x
100/29.822222222222=x
3.3532041728763=x
x=3.3532041728763

now we have:
1.35 is 3.3532041728763% of 40.26

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