33.76 is what percent of 463.65 - 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 463.65 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 463.65, so we can write it down as 100%=463.65.
4. We know, that x% equals 33.76 of the output value, so we can write it down as x%=33.76.
5. Now we have two simple equations:
1) 100%=463.65
2) x%=33.76
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%=463.65/33.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.76 is what percent of 463.65

100%/x%=463.65/33.76
(100/x)*x=(463.65/33.76)*x       - we multiply both sides of the equation by x
100=13.733708530806*x       - we divide both sides of the equation by (13.733708530806) to get x
100/13.733708530806=x
7.2813544699666=x
x=7.2813544699666

now we have:
33.76 is 7.2813544699666% of 463.65