73.84 is what percent of 1280.01 - 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 1280.01 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 1280.01, so we can write it down as 100%=1280.01.
4. We know, that x% equals 73.84 of the output value, so we can write it down as x%=73.84.
5. Now we have two simple equations:
1) 100%=1280.01
2) x%=73.84
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%=1280.01/73.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 73.84 is what percent of 1280.01

100%/x%=1280.01/73.84
(100/x)*x=(1280.01/73.84)*x       - we multiply both sides of the equation by x
100=17.334913326111*x       - we divide both sides of the equation by (17.334913326111) to get x
100/17.334913326111=x
5.7687049319927=x
x=5.7687049319927

now we have:
73.84 is 5.7687049319927% of 1280.01