210.75 is what percent of 335.1 - 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 335.1 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 335.1, so we can write it down as 100%=335.1.
4. We know, that x% equals 210.75 of the output value, so we can write it down as x%=210.75.
5. Now we have two simple equations:
1) 100%=335.1
2) x%=210.75
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%=335.1/210.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 210.75 is what percent of 335.1

100%/x%=335.1/210.75
(100/x)*x=(335.1/210.75)*x       - we multiply both sides of the equation by x
100=1.5900355871886*x       - we divide both sides of the equation by (1.5900355871886) to get x
100/1.5900355871886=x
62.891674127126=x
x=62.891674127126

now we have:
210.75 is 62.891674127126% of 335.1