5.67 is what percent of 68.7 - 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 68.7 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 68.7, so we can write it down as 100%=68.7.
4. We know, that x% equals 5.67 of the output value, so we can write it down as x%=5.67.
5. Now we have two simple equations:
1) 100%=68.7
2) x%=5.67
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%=68.7/5.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.67 is what percent of 68.7

100%/x%=68.7/5.67
(100/x)*x=(68.7/5.67)*x       - we multiply both sides of the equation by x
100=12.116402116402*x       - we divide both sides of the equation by (12.116402116402) to get x
100/12.116402116402=x
8.2532751091703=x
x=8.2532751091703

now we have:
5.67 is 8.2532751091703% of 68.7