32.5 is what percent of 1.377 - 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 1.377 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 1.377, so we can write it down as 100%=1.377.
4. We know, that x% equals 32.5 of the output value, so we can write it down as x%=32.5.
5. Now we have two simple equations:
1) 100%=1.377
2) x%=32.5
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%=1.377/32.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.5 is what percent of 1.377

100%/x%=1.377/32.5
(100/x)*x=(1.377/32.5)*x       - we multiply both sides of the equation by x
100=0.042369230769231*x       - we divide both sides of the equation by (0.042369230769231) to get x
100/0.042369230769231=x
2360.2033405955=x
x=2360.2033405955

now we have:
32.5 is 2360.2033405955% of 1.377