33.29 is what percent of 493.78 - 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 493.78 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 493.78, so we can write it down as 100%=493.78.
4. We know, that x% equals 33.29 of the output value, so we can write it down as x%=33.29.
5. Now we have two simple equations:
1) 100%=493.78
2) x%=33.29
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%=493.78/33.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.29 is what percent of 493.78

100%/x%=493.78/33.29
(100/x)*x=(493.78/33.29)*x       - we multiply both sides of the equation by x
100=14.832682487233*x       - we divide both sides of the equation by (14.832682487233) to get x
100/14.832682487233=x
6.741868848475=x
x=6.741868848475

now we have:
33.29 is 6.741868848475% of 493.78