152.67 is what percent of 253.59 - 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 253.59 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 253.59, so we can write it down as 100%=253.59.
4. We know, that x% equals 152.67 of the output value, so we can write it down as x%=152.67.
5. Now we have two simple equations:
1) 100%=253.59
2) x%=152.67
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%=253.59/152.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 152.67 is what percent of 253.59

100%/x%=253.59/152.67
(100/x)*x=(253.59/152.67)*x       - we multiply both sides of the equation by x
100=1.6610336018864*x       - we divide both sides of the equation by (1.6610336018864) to get x
100/1.6610336018864=x
60.203478055128=x
x=60.203478055128

now we have:
152.67 is 60.203478055128% of 253.59