150.99 is what percent of 204.98 - 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 204.98 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 204.98, so we can write it down as 100%=204.98.
4. We know, that x% equals 150.99 of the output value, so we can write it down as x%=150.99.
5. Now we have two simple equations:
1) 100%=204.98
2) x%=150.99
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%=204.98/150.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 150.99 is what percent of 204.98

100%/x%=204.98/150.99
(100/x)*x=(204.98/150.99)*x       - we multiply both sides of the equation by x
100=1.3575733492284*x       - we divide both sides of the equation by (1.3575733492284) to get x
100/1.3575733492284=x
73.660844960484=x
x=73.660844960484

now we have:
150.99 is 73.660844960484% of 204.98