2974.38 is what percent of 8202 - 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 8202 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 8202, so we can write it down as 100%=8202.
4. We know, that x% equals 2974.38 of the output value, so we can write it down as x%=2974.38.
5. Now we have two simple equations:
1) 100%=8202
2) x%=2974.38
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%=8202/2974.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2974.38 is what percent of 8202

100%/x%=8202/2974.38
(100/x)*x=(8202/2974.38)*x       - we multiply both sides of the equation by x
100=2.7575494724951*x       - we divide both sides of the equation by (2.7575494724951) to get x
100/2.7575494724951=x
36.264081931236=x
x=36.264081931236

now we have:
2974.38 is 36.264081931236% of 8202