3.14 is what percent of 35.87 - 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 35.87 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 35.87, so we can write it down as 100%=35.87.
4. We know, that x% equals 3.14 of the output value, so we can write it down as x%=3.14.
5. Now we have two simple equations:
1) 100%=35.87
2) x%=3.14
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%=35.87/3.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.14 is what percent of 35.87

100%/x%=35.87/3.14
(100/x)*x=(35.87/3.14)*x       - we multiply both sides of the equation by x
100=11.423566878981*x       - we divide both sides of the equation by (11.423566878981) to get x
100/11.423566878981=x
8.7538332868693=x
x=8.7538332868693

now we have:
3.14 is 8.7538332868693% of 35.87