37.23 is what percent of 620.42 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 620.42 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 620.42, so we can write it down as 100%=620.42.
4. We know, that x% equals 37.23 of the output value, so we can write it down as x%=37.23.
5. Now we have two simple equations:
1) 100%=620.42
2) x%=37.23
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%=620.42/37.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.23 is what percent of 620.42

100%/x%=620.42/37.23
(100/x)*x=(620.42/37.23)*x       - we multiply both sides of the equation by x
100=16.664517861939*x       - we divide both sides of the equation by (16.664517861939) to get x
100/16.664517861939=x
6.0007736694497=x
x=6.0007736694497

now we have:
37.23 is 6.0007736694497% of 620.42