68.15 is what percent of 87.74 - 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 87.74 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 87.74, so we can write it down as 100%=87.74.
4. We know, that x% equals 68.15 of the output value, so we can write it down as x%=68.15.
5. Now we have two simple equations:
1) 100%=87.74
2) x%=68.15
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%=87.74/68.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 68.15 is what percent of 87.74

100%/x%=87.74/68.15
(100/x)*x=(87.74/68.15)*x       - we multiply both sides of the equation by x
100=1.2874541452678*x       - we divide both sides of the equation by (1.2874541452678) to get x
100/1.2874541452678=x
77.672669250057=x
x=77.672669250057

now we have:
68.15 is 77.672669250057% of 87.74