37.51 is what percent of 1327.7 - 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 1327.7 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 1327.7, so we can write it down as 100%=1327.7.
4. We know, that x% equals 37.51 of the output value, so we can write it down as x%=37.51.
5. Now we have two simple equations:
1) 100%=1327.7
2) x%=37.51
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%=1327.7/37.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.51 is what percent of 1327.7

100%/x%=1327.7/37.51
(100/x)*x=(1327.7/37.51)*x       - we multiply both sides of the equation by x
100=35.395894428152*x       - we divide both sides of the equation by (35.395894428152) to get x
100/35.395894428152=x
2.8251864125932=x
x=2.8251864125932

now we have:
37.51 is 2.8251864125932% of 1327.7