469.22 is what percent of 345.3 - 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 345.3 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 345.3, so we can write it down as 100%=345.3.
4. We know, that x% equals 469.22 of the output value, so we can write it down as x%=469.22.
5. Now we have two simple equations:
1) 100%=345.3
2) x%=469.22
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%=345.3/469.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 469.22 is what percent of 345.3

100%/x%=345.3/469.22
(100/x)*x=(345.3/469.22)*x       - we multiply both sides of the equation by x
100=0.73590213545885*x       - we divide both sides of the equation by (0.73590213545885) to get x
100/0.73590213545885=x
135.8876339415=x
x=135.8876339415

now we have:
469.22 is 135.8876339415% of 345.3