31.3 is what percent of 6.7 - 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 6.7 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 6.7, so we can write it down as 100%=6.7.
4. We know, that x% equals 31.3 of the output value, so we can write it down as x%=31.3.
5. Now we have two simple equations:
1) 100%=6.7
2) x%=31.3
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%=6.7/31.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.3 is what percent of 6.7

100%/x%=6.7/31.3
(100/x)*x=(6.7/31.3)*x       - we multiply both sides of the equation by x
100=0.21405750798722*x       - we divide both sides of the equation by (0.21405750798722) to get x
100/0.21405750798722=x
467.16417910448=x
x=467.16417910448

now we have:
31.3 is 467.16417910448% of 6.7