5.33 is what percent of 122.04 - 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 122.04 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 122.04, so we can write it down as 100%=122.04.
4. We know, that x% equals 5.33 of the output value, so we can write it down as x%=5.33.
5. Now we have two simple equations:
1) 100%=122.04
2) x%=5.33
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%=122.04/5.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.33 is what percent of 122.04

100%/x%=122.04/5.33
(100/x)*x=(122.04/5.33)*x       - we multiply both sides of the equation by x
100=22.896810506567*x       - we divide both sides of the equation by (22.896810506567) to get x
100/22.896810506567=x
4.367420517863=x
x=4.367420517863

now we have:
5.33 is 4.367420517863% of 122.04