1.67 is what percent of 13 - 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 13 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 13, so we can write it down as 100%=13.
4. We know, that x% equals 1.67 of the output value, so we can write it down as x%=1.67.
5. Now we have two simple equations:
1) 100%=13
2) x%=1.67
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%=13/1.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.67 is what percent of 13

100%/x%=13/1.67
(100/x)*x=(13/1.67)*x       - we multiply both sides of the equation by x
100=7.7844311377246*x       - we divide both sides of the equation by (7.7844311377246) to get x
100/7.7844311377246=x
12.846153846154=x
x=12.846153846154

now we have:
1.67 is 12.846153846154% of 13