6.2 is what percent of 2.91 - 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 2.91 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 2.91, so we can write it down as 100%=2.91.
4. We know, that x% equals 6.2 of the output value, so we can write it down as x%=6.2.
5. Now we have two simple equations:
1) 100%=2.91
2) x%=6.2
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%=2.91/6.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.2 is what percent of 2.91

100%/x%=2.91/6.2
(100/x)*x=(2.91/6.2)*x       - we multiply both sides of the equation by x
100=0.46935483870968*x       - we divide both sides of the equation by (0.46935483870968) to get x
100/0.46935483870968=x
213.05841924399=x
x=213.05841924399

now we have:
6.2 is 213.05841924399% of 2.91