90 is what percent of 35.52 - 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 35.52 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 35.52, so we can write it down as 100%=35.52.
4. We know, that x% equals 90 of the output value, so we can write it down as x%=90.
5. Now we have two simple equations:
1) 100%=35.52
2) x%=90
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%=35.52/90
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90 is what percent of 35.52

100%/x%=35.52/90
(100/x)*x=(35.52/90)*x       - we multiply both sides of the equation by x
100=0.39466666666667*x       - we divide both sides of the equation by (0.39466666666667) to get x
100/0.39466666666667=x
253.37837837838=x
x=253.37837837838

now we have:
90 is 253.37837837838% of 35.52