270.33 is what percent of 105013 - 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 105013 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 105013, so we can write it down as 100%=105013.
4. We know, that x% equals 270.33 of the output value, so we can write it down as x%=270.33.
5. Now we have two simple equations:
1) 100%=105013
2) x%=270.33
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%=105013/270.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 270.33 is what percent of 105013

100%/x%=105013/270.33
(100/x)*x=(105013/270.33)*x       - we multiply both sides of the equation by x
100=388.46224984278*x       - we divide both sides of the equation by (388.46224984278) to get x
100/388.46224984278=x
0.2574252711569=x
x=0.2574252711569

now we have:
270.33 is 0.2574252711569% of 105013