67 is what percent of 6195 - 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 6195 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 6195, so we can write it down as 100%=6195.
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%=6195
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%=6195/67
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 6195

100%/x%=6195/67
(100/x)*x=(6195/67)*x       - we multiply both sides of the equation by x
100=92.462686567164*x       - we divide both sides of the equation by (92.462686567164) to get x
100/92.462686567164=x
1.0815173527038=x
x=1.0815173527038

now we have:
67 is 1.0815173527038% of 6195