51.17 is what percent of 1279.2 - 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 1279.2 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 1279.2, so we can write it down as 100%=1279.2.
4. We know, that x% equals 51.17 of the output value, so we can write it down as x%=51.17.
5. Now we have two simple equations:
1) 100%=1279.2
2) x%=51.17
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%=1279.2/51.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.17 is what percent of 1279.2

100%/x%=1279.2/51.17
(100/x)*x=(1279.2/51.17)*x       - we multiply both sides of the equation by x
100=24.99902286496*x       - we divide both sides of the equation by (24.99902286496) to get x
100/24.99902286496=x
4.0001563477173=x
x=4.0001563477173

now we have:
51.17 is 4.0001563477173% of 1279.2