6.33 is what percent of 279.87 - 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 279.87 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 279.87, so we can write it down as 100%=279.87.
4. We know, that x% equals 6.33 of the output value, so we can write it down as x%=6.33.
5. Now we have two simple equations:
1) 100%=279.87
2) x%=6.33
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%=279.87/6.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.33 is what percent of 279.87

100%/x%=279.87/6.33
(100/x)*x=(279.87/6.33)*x       - we multiply both sides of the equation by x
100=44.21327014218*x       - we divide both sides of the equation by (44.21327014218) to get x
100/44.21327014218=x
2.2617643906099=x
x=2.2617643906099

now we have:
6.33 is 2.2617643906099% of 279.87