803.34 is what percent of 3014.4 - 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 3014.4 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 3014.4, so we can write it down as 100%=3014.4.
4. We know, that x% equals 803.34 of the output value, so we can write it down as x%=803.34.
5. Now we have two simple equations:
1) 100%=3014.4
2) x%=803.34
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%=3014.4/803.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 803.34 is what percent of 3014.4

100%/x%=3014.4/803.34
(100/x)*x=(3014.4/803.34)*x       - we multiply both sides of the equation by x
100=3.7523340055269*x       - we divide both sides of the equation by (3.7523340055269) to get x
100/3.7523340055269=x
26.650079617834=x
x=26.650079617834

now we have:
803.34 is 26.650079617834% of 3014.4