67 is what percent of 379 - 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 379 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 379, so we can write it down as 100%=379.
4. We know, that x% equals 67 of the output value, so we can write it down as x%=67.
5. Now we have two simple equations:
1) 100%=379
2) x%=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%=379/67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67 is what percent of 379

100%/x%=379/67
(100/x)*x=(379/67)*x       - we multiply both sides of the equation by x
100=5.6567164179104*x       - we divide both sides of the equation by (5.6567164179104) to get x
100/5.6567164179104=x
17.678100263852=x
x=17.678100263852

now we have:
67 is 17.678100263852% of 379