2.86 is what percent of 47.4 - 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 47.4 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 47.4, so we can write it down as 100%=47.4.
4. We know, that x% equals 2.86 of the output value, so we can write it down as x%=2.86.
5. Now we have two simple equations:
1) 100%=47.4
2) x%=2.86
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%=47.4/2.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.86 is what percent of 47.4

100%/x%=47.4/2.86
(100/x)*x=(47.4/2.86)*x       - we multiply both sides of the equation by x
100=16.573426573427*x       - we divide both sides of the equation by (16.573426573427) to get x
100/16.573426573427=x
6.0337552742616=x
x=6.0337552742616

now we have:
2.86 is 6.0337552742616% of 47.4