32.78 is what percent of 1037 - 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 1037 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 1037, so we can write it down as 100%=1037.
4. We know, that x% equals 32.78 of the output value, so we can write it down as x%=32.78.
5. Now we have two simple equations:
1) 100%=1037
2) x%=32.78
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%=1037/32.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.78 is what percent of 1037

100%/x%=1037/32.78
(100/x)*x=(1037/32.78)*x       - we multiply both sides of the equation by x
100=31.63514338011*x       - we divide both sides of the equation by (31.63514338011) to get x
100/31.63514338011=x
3.1610414657666=x
x=3.1610414657666

now we have:
32.78 is 3.1610414657666% of 1037