98.64 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 98.64 of the output value, so we can write it down as x%=98.64.
5. Now we have two simple equations:
1) 100%=1590
2) x%=98.64
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%=1590/98.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 98.64 is what percent of 1590

100%/x%=1590/98.64
(100/x)*x=(1590/98.64)*x       - we multiply both sides of the equation by x
100=16.119221411192*x       - we divide both sides of the equation by (16.119221411192) to get x
100/16.119221411192=x
6.2037735849057=x
x=6.2037735849057

now we have:
98.64 is 6.2037735849057% of 1590