67 is what percent of 526 - 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 526 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 526, so we can write it down as 100%=526.
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%=526
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%=526/67
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 526

100%/x%=526/67
(100/x)*x=(526/67)*x       - we multiply both sides of the equation by x
100=7.8507462686567*x       - we divide both sides of the equation by (7.8507462686567) to get x
100/7.8507462686567=x
12.737642585551=x
x=12.737642585551

now we have:
67 is 12.737642585551% of 526