3.3 is what percent of 333.546 - 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 333.546 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 333.546, so we can write it down as 100%=333.546.
4. We know, that x% equals 3.3 of the output value, so we can write it down as x%=3.3.
5. Now we have two simple equations:
1) 100%=333.546
2) x%=3.3
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%=333.546/3.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.3 is what percent of 333.546

100%/x%=333.546/3.3
(100/x)*x=(333.546/3.3)*x       - we multiply both sides of the equation by x
100=101.07454545455*x       - we divide both sides of the equation by (101.07454545455) to get x
100/101.07454545455=x
0.98936878271663=x
x=0.98936878271663

now we have:
3.3 is 0.98936878271663% of 333.546