33.13 is what percent of 1673.42 - 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 1673.42 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 1673.42, so we can write it down as 100%=1673.42.
4. We know, that x% equals 33.13 of the output value, so we can write it down as x%=33.13.
5. Now we have two simple equations:
1) 100%=1673.42
2) x%=33.13
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%=1673.42/33.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.13 is what percent of 1673.42

100%/x%=1673.42/33.13
(100/x)*x=(1673.42/33.13)*x       - we multiply both sides of the equation by x
100=50.510715363719*x       - we divide both sides of the equation by (50.510715363719) to get x
100/50.510715363719=x
1.979777939788=x
x=1.979777939788

now we have:
33.13 is 1.979777939788% of 1673.42