3.02 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 3.02 of the output value, so we can write it down as x%=3.02.
5. Now we have two simple equations:
1) 100%=35.87
2) x%=3.02
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%=35.87/3.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.02 is what percent of 35.87

100%/x%=35.87/3.02
(100/x)*x=(35.87/3.02)*x       - we multiply both sides of the equation by x
100=11.877483443709*x       - we divide both sides of the equation by (11.877483443709) to get x
100/11.877483443709=x
8.4192918873711=x
x=8.4192918873711

now we have:
3.02 is 8.4192918873711% of 35.87