51 is what percent of 300.4 - 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 300.4 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 300.4, so we can write it down as 100%=300.4.
4. We know, that x% equals 51 of the output value, so we can write it down as x%=51.
5. Now we have two simple equations:
1) 100%=300.4
2) x%=51
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%=300.4/51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51 is what percent of 300.4

100%/x%=300.4/51
(100/x)*x=(300.4/51)*x       - we multiply both sides of the equation by x
100=5.8901960784314*x       - we divide both sides of the equation by (5.8901960784314) to get x
100/5.8901960784314=x
16.977363515313=x
x=16.977363515313

now we have:
51 is 16.977363515313% of 300.4