362.2 is what percent of 370 - 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 370 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 370, so we can write it down as 100%=370.
4. We know, that x% equals 362.2 of the output value, so we can write it down as x%=362.2.
5. Now we have two simple equations:
1) 100%=370
2) x%=362.2
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%=370/362.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 362.2 is what percent of 370

100%/x%=370/362.2
(100/x)*x=(370/362.2)*x       - we multiply both sides of the equation by x
100=1.0215350635008*x       - we divide both sides of the equation by (1.0215350635008) to get x
100/1.0215350635008=x
97.891891891892=x
x=97.891891891892

now we have:
362.2 is 97.891891891892% of 370