6.86 is what percent of 456.75 - 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 456.75 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 456.75, so we can write it down as 100%=456.75.
4. We know, that x% equals 6.86 of the output value, so we can write it down as x%=6.86.
5. Now we have two simple equations:
1) 100%=456.75
2) x%=6.86
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%=456.75/6.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.86 is what percent of 456.75

100%/x%=456.75/6.86
(100/x)*x=(456.75/6.86)*x       - we multiply both sides of the equation by x
100=66.581632653061*x       - we divide both sides of the equation by (66.581632653061) to get x
100/66.581632653061=x
1.5019157088123=x
x=1.5019157088123

now we have:
6.86 is 1.5019157088123% of 456.75