6.67 is what percent of 1.67 - 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 1.67 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 1.67, so we can write it down as 100%=1.67.
4. We know, that x% equals 6.67 of the output value, so we can write it down as x%=6.67.
5. Now we have two simple equations:
1) 100%=1.67
2) x%=6.67
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%=1.67/6.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.67 is what percent of 1.67

100%/x%=1.67/6.67
(100/x)*x=(1.67/6.67)*x       - we multiply both sides of the equation by x
100=0.2503748125937*x       - we divide both sides of the equation by (0.2503748125937) to get x
100/0.2503748125937=x
399.40119760479=x
x=399.40119760479

now we have:
6.67 is 399.40119760479% of 1.67