33.78 is what percent of 549.67 - 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 549.67 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 549.67, so we can write it down as 100%=549.67.
4. We know, that x% equals 33.78 of the output value, so we can write it down as x%=33.78.
5. Now we have two simple equations:
1) 100%=549.67
2) x%=33.78
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%=549.67/33.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.78 is what percent of 549.67

100%/x%=549.67/33.78
(100/x)*x=(549.67/33.78)*x       - we multiply both sides of the equation by x
100=16.272054470101*x       - we divide both sides of the equation by (16.272054470101) to get x
100/16.272054470101=x
6.1455054851092=x
x=6.1455054851092

now we have:
33.78 is 6.1455054851092% of 549.67