187.66 is what percent of 312.68 - 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 312.68 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 312.68, so we can write it down as 100%=312.68.
4. We know, that x% equals 187.66 of the output value, so we can write it down as x%=187.66.
5. Now we have two simple equations:
1) 100%=312.68
2) x%=187.66
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%=312.68/187.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 187.66 is what percent of 312.68

100%/x%=312.68/187.66
(100/x)*x=(312.68/187.66)*x       - we multiply both sides of the equation by x
100=1.6662048385378*x       - we divide both sides of the equation by (1.6662048385378) to get x
100/1.6662048385378=x
60.016630420878=x
x=60.016630420878

now we have:
187.66 is 60.016630420878% of 312.68