20.33 is what percent of 1402.05 - 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 1402.05 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 1402.05, so we can write it down as 100%=1402.05.
4. We know, that x% equals 20.33 of the output value, so we can write it down as x%=20.33.
5. Now we have two simple equations:
1) 100%=1402.05
2) x%=20.33
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%=1402.05/20.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.33 is what percent of 1402.05

100%/x%=1402.05/20.33
(100/x)*x=(1402.05/20.33)*x       - we multiply both sides of the equation by x
100=68.964584358091*x       - we divide both sides of the equation by (68.964584358091) to get x
100/68.964584358091=x
1.4500196141364=x
x=1.4500196141364

now we have:
20.33 is 1.4500196141364% of 1402.05