2.94 is what percent of 51.87 - 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 51.87 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 51.87, so we can write it down as 100%=51.87.
4. We know, that x% equals 2.94 of the output value, so we can write it down as x%=2.94.
5. Now we have two simple equations:
1) 100%=51.87
2) x%=2.94
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%=51.87/2.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.94 is what percent of 51.87

100%/x%=51.87/2.94
(100/x)*x=(51.87/2.94)*x       - we multiply both sides of the equation by x
100=17.642857142857*x       - we divide both sides of the equation by (17.642857142857) to get x
100/17.642857142857=x
5.668016194332=x
x=5.668016194332

now we have:
2.94 is 5.668016194332% of 51.87