35.76 is what percent of 1590 - 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 1590 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 1590, so we can write it down as 100%=1590.
4. We know, that x% equals 35.76 of the output value, so we can write it down as x%=35.76.
5. Now we have two simple equations:
1) 100%=1590
2) x%=35.76
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%=1590/35.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.76 is what percent of 1590

100%/x%=1590/35.76
(100/x)*x=(1590/35.76)*x       - we multiply both sides of the equation by x
100=44.463087248322*x       - we divide both sides of the equation by (44.463087248322) to get x
100/44.463087248322=x
2.2490566037736=x
x=2.2490566037736

now we have:
35.76 is 2.2490566037736% of 1590