90.26 is what percent of 348.26 - 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 348.26 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 348.26, so we can write it down as 100%=348.26.
4. We know, that x% equals 90.26 of the output value, so we can write it down as x%=90.26.
5. Now we have two simple equations:
1) 100%=348.26
2) x%=90.26
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%=348.26/90.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90.26 is what percent of 348.26

100%/x%=348.26/90.26
(100/x)*x=(348.26/90.26)*x       - we multiply both sides of the equation by x
100=3.8584090405495*x       - we divide both sides of the equation by (3.8584090405495) to get x
100/3.8584090405495=x
25.917418021019=x
x=25.917418021019

now we have:
90.26 is 25.917418021019% of 348.26