53 is what percent of 35150 - 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 35150 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 35150, so we can write it down as 100%=35150.
4. We know, that x% equals 53 of the output value, so we can write it down as x%=53.
5. Now we have two simple equations:
1) 100%=35150
2) x%=53
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%=35150/53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53 is what percent of 35150

100%/x%=35150/53
(100/x)*x=(35150/53)*x       - we multiply both sides of the equation by x
100=663.20754716981*x       - we divide both sides of the equation by (663.20754716981) to get x
100/663.20754716981=x
0.15078236130868=x
x=0.15078236130868

now we have:
53 is 0.15078236130868% of 35150