4.18 is what percent of 6.67 - 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 6.67 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 6.67, so we can write it down as 100%=6.67.
4. We know, that x% equals 4.18 of the output value, so we can write it down as x%=4.18.
5. Now we have two simple equations:
1) 100%=6.67
2) x%=4.18
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%=6.67/4.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.18 is what percent of 6.67

100%/x%=6.67/4.18
(100/x)*x=(6.67/4.18)*x       - we multiply both sides of the equation by x
100=1.5956937799043*x       - we divide both sides of the equation by (1.5956937799043) to get x
100/1.5956937799043=x
62.668665667166=x
x=62.668665667166

now we have:
4.18 is 62.668665667166% of 6.67