1.86 is what percent of 6.75 - 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 6.75 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 6.75, so we can write it down as 100%=6.75.
4. We know, that x% equals 1.86 of the output value, so we can write it down as x%=1.86.
5. Now we have two simple equations:
1) 100%=6.75
2) x%=1.86
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%=6.75/1.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.86 is what percent of 6.75

100%/x%=6.75/1.86
(100/x)*x=(6.75/1.86)*x       - we multiply both sides of the equation by x
100=3.6290322580645*x       - we divide both sides of the equation by (3.6290322580645) to get x
100/3.6290322580645=x
27.555555555556=x
x=27.555555555556

now we have:
1.86 is 27.555555555556% of 6.75