6.23 is what percent of 900.75 - 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 900.75 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 900.75, so we can write it down as 100%=900.75.
4. We know, that x% equals 6.23 of the output value, so we can write it down as x%=6.23.
5. Now we have two simple equations:
1) 100%=900.75
2) x%=6.23
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%=900.75/6.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.23 is what percent of 900.75

100%/x%=900.75/6.23
(100/x)*x=(900.75/6.23)*x       - we multiply both sides of the equation by x
100=144.58266452648*x       - we divide both sides of the equation by (144.58266452648) to get x
100/144.58266452648=x
0.69164585067999=x
x=0.69164585067999

now we have:
6.23 is 0.69164585067999% of 900.75