141.42 is what percent of 733.8 - 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 733.8 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 733.8, so we can write it down as 100%=733.8.
4. We know, that x% equals 141.42 of the output value, so we can write it down as x%=141.42.
5. Now we have two simple equations:
1) 100%=733.8
2) x%=141.42
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%=733.8/141.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 141.42 is what percent of 733.8

100%/x%=733.8/141.42
(100/x)*x=(733.8/141.42)*x       - we multiply both sides of the equation by x
100=5.188799321171*x       - we divide both sides of the equation by (5.188799321171) to get x
100/5.188799321171=x
19.272281275552=x
x=19.272281275552

now we have:
141.42 is 19.272281275552% of 733.8