What is 333.25 percent of 5.25 - 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 5.25 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 5.25 is 100%, so we can write it down as 5.25=100%.
4. We know, that x is 333.25% of the output value, so we can write it down as x=333.25%.
5. Now we have two simple equations:
1) 5.25=100%
2) x=333.25%
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:
5.25/x=100%/333.25%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 333.25% of 5.25

5.25/x=100/333.25
(5.25/x)*x=(100/333.25)*x       - we multiply both sides of the equation by x
5.25=0.30007501875469*x       - we divide both sides of the equation by (0.30007501875469) to get x
5.25/0.30007501875469=x
17.495625=x
x=17.495625

now we have:
333.25% of 5.25=17.495625