73.89 is what percent of 426.72 - 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 426.72 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 426.72, so we can write it down as 100%=426.72.
4. We know, that x% equals 73.89 of the output value, so we can write it down as x%=73.89.
5. Now we have two simple equations:
1) 100%=426.72
2) x%=73.89
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%=426.72/73.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 73.89 is what percent of 426.72

100%/x%=426.72/73.89
(100/x)*x=(426.72/73.89)*x       - we multiply both sides of the equation by x
100=5.7750710515631*x       - we divide both sides of the equation by (5.7750710515631) to get x
100/5.7750710515631=x
17.315804274466=x
x=17.315804274466

now we have:
73.89 is 17.315804274466% of 426.72