270.03 is what percent of 1113.35 - 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 1113.35 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 1113.35, so we can write it down as 100%=1113.35.
4. We know, that x% equals 270.03 of the output value, so we can write it down as x%=270.03.
5. Now we have two simple equations:
1) 100%=1113.35
2) x%=270.03
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%=1113.35/270.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 270.03 is what percent of 1113.35

100%/x%=1113.35/270.03
(100/x)*x=(1113.35/270.03)*x       - we multiply both sides of the equation by x
100=4.1230604006962*x       - we divide both sides of the equation by (4.1230604006962) to get x
100/4.1230604006962=x
24.253828535501=x
x=24.253828535501

now we have:
270.03 is 24.253828535501% of 1113.35