6.2 is what percent of 512.4 - 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 512.4 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 512.4, so we can write it down as 100%=512.4.
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%=512.4
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%=512.4/6.2
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 512.4

100%/x%=512.4/6.2
(100/x)*x=(512.4/6.2)*x       - we multiply both sides of the equation by x
100=82.645161290323*x       - we divide both sides of the equation by (82.645161290323) to get x
100/82.645161290323=x
1.2099921935988=x
x=1.2099921935988

now we have:
6.2 is 1.2099921935988% of 512.4